{"id":1402,"date":"2026-08-26T14:18:06","date_gmt":"2026-08-26T17:18:06","guid":{"rendered":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/?p=1402"},"modified":"2026-08-26T14:18:09","modified_gmt":"2026-08-26T17:18:09","slug":"random-dynamical-systems-and-network-dynamics","status":"publish","type":"post","link":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/random-dynamical-systems-and-network-dynamics\/","title":{"rendered":"Random Dynamical Systems and Network Dynamics"},"content":{"rendered":"\n<div class=\"reconnect-post\" style=\"--ink:#1a1a2e; --muted:#5a5a6e; --accent:#0b5d8f; --line:#e4e4ec; --bg:#f7f8fa; max-width:760px; margin:0 auto; color:#1a1a2e; font-family:Georgia,'Times New Roman',serif; font-size:18px; line-height:1.7;\">\n\n  <!-- KICKER -->\n  <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:12px; letter-spacing:.14em; text-transform:uppercase; color:#0b5d8f; font-weight:700; margin:0 0 10px;\">\n    Event report &middot; 26&ndash;27 February 2026\n  <\/p>\n\n  <!-- DEK -->\n  <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:19px; line-height:1.5; font-style:italic; color:#5a5a6e; margin:0 0 28px;\">\n    A two-day satellite meeting at IMPA, in Rio de Janeiro, brought together researchers working at the\n    interface of ergodic theory, random dynamical systems and complex networks.\n  <\/p>\n\n  <!-- BODY -->\n  <p style=\"margin:0 0 20px;\">\n    On 26 and 27 February 2026, IMPA hosted the <strong>Satellite Meeting on Random Dynamical Systems and\n    Network Dynamics<\/strong>, held alongside\n    <a href=\"https:\/\/arquimedes.nce.ufrj.br\/dm\/icrdsrf\/\" target=\"_blank\" rel=\"noopener\" style=\"color:#0b5d8f;\">RDS Rio26 &mdash; International Conference on Random Dynamical Systems and Related Fields<\/a>.\n    The meeting was organised by Zheng Bian (UNSW Sydney), Jeroen Lamb (Imperial College London) and\n    Tiago Pereira (USP), and gathered researchers and students from Brazil, the United Kingdom and Australia.\n  <\/p>\n\n  <p style=\"margin:0 0 20px;\">\n    Random Dynamical Systems (RDS) provide a rigorous framework for understanding stochastic, time-dependent\n    or noisy dynamical behaviour, while network dynamics studies how large collections of interacting\n    components give rise to emergent collective phenomena. These two areas have been converging: randomness,\n    temporal disorder and structural heterogeneity in networks naturally lead to random dynamical descriptions.\n    Over two days, the programme combined long lectures and short talks by early-career researchers, covering\n    operator-theoretic and measure-theoretic approaches to RDS networks, random graph models and mean-field\n    limits, synchronisation and bifurcations under randomness, and data-driven approaches to learning\n    dynamics from observations.\n  <\/p>\n\n  <!-- PULL QUOTE -->\n  <blockquote style=\"margin:32px 0; padding:6px 0 6px 22px; border-left:4px solid #0b5d8f; color:#1a1a2e; font-size:21px; line-height:1.5; font-style:italic;\">\n    Randomness, temporal disorder and structural heterogeneity in networks naturally lead to random\n    dynamical descriptions.\n  <\/blockquote>\n\n  <!-- DATE AND VENUE -->\n  <h3 style=\"font-family:Arial,Helvetica,sans-serif; font-size:20px; color:#1a1a2e; margin:36px 0 12px;\">Date and Venue<\/h3>\n  <p style=\"margin:0 0 20px;\">\n    26&ndash;27 February 2026<br>\n    IMPA &mdash; Instituto de Matem&aacute;tica Pura e Aplicada, Rio de Janeiro &mdash; Brazil<br>\n    <span style=\"color:#5a5a6e; font-size:16px;\">26 February: Room 206 &middot; 27 February: Room 329 (Sala Multi-uso)<\/span>\n  <\/p>\n\n  <!-- SCOPE -->\n  <h3 style=\"font-family:Arial,Helvetica,sans-serif; font-size:20px; color:#1a1a2e; margin:36px 0 12px;\">Scope<\/h3>\n  <ul style=\"margin:0 0 20px; padding-left:22px;\">\n    <li style=\"margin:8px 0;\">Operator-theoretic and measure-theoretic approaches to RDS networks<\/li>\n    <li style=\"margin:8px 0;\">Random graph models and mean-field limits for network dynamics<\/li>\n    <li style=\"margin:8px 0;\">Synchronization, stability and bifurcations under randomness or heterogeneity<\/li>\n    <li style=\"margin:8px 0;\">Data-driven and learning-based approaches to RDS<\/li>\n  <\/ul>\n\n  <!-- PROGRAMME -->\n  <h3 style=\"font-family:Arial,Helvetica,sans-serif; font-size:20px; color:#1a1a2e; margin:36px 0 12px;\">Programme<\/h3>\n\n  <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; letter-spacing:.08em; text-transform:uppercase; color:#0b5d8f; font-weight:700; margin:24px 0 8px;\">Thursday, 26 February<\/p>\n  <table style=\"width:100%; border-collapse:collapse; font-family:Arial,Helvetica,sans-serif; font-size:15px; margin:0 0 20px;\">\n    <tbody>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap; width:130px;\">10:00&ndash;10:50<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec;\">Zheng Bian<\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">10:50&ndash;11:10<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e;\">Coffee break<\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">11:10&ndash;11:40<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec;\">Jeroen Lamb<\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">11:40&ndash;12:00<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec;\">Matheus Manzatto <span style=\"font-size:11px; color:#5a5a6e; border:1px solid #e4e4ec; border-radius:99px; padding:2px 8px; margin-left:6px;\">Short talk<\/span><\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">12:00&ndash;13:30<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e;\">Lunch break<\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">13:30&ndash;14:20<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec;\">Sajjad Bakrani \/ Alice de Lorenci \/ Tiago Pereira<\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">14:20&ndash;14:40<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec;\">Moacir Aloisio <span style=\"font-size:11px; color:#5a5a6e; border:1px solid #e4e4ec; border-radius:99px; padding:2px 8px; margin-left:6px;\">Short talk<\/span><\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">14:40&ndash;15:00<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e;\">Coffee break<\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">15:00&ndash;15:20<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec;\">Emilia Gibson <span style=\"font-size:11px; color:#5a5a6e; border:1px solid #e4e4ec; border-radius:99px; padding:2px 8px; margin-left:6px;\">Short talk<\/span><\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">15:20&ndash;15:40<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec;\">Bella Figliaggi <span style=\"font-size:11px; color:#5a5a6e; border:1px solid #e4e4ec; border-radius:99px; padding:2px 8px; margin-left:6px;\">Short talk<\/span><\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">15:40&ndash;16:00<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec;\">Chris Chalhoub <span style=\"font-size:11px; color:#5a5a6e; border:1px solid #e4e4ec; border-radius:99px; padding:2px 8px; margin-left:6px;\">Short talk<\/span><\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; color:#5a5a6e; white-space:nowrap;\">18:00<\/td><td style=\"padding:9px 0; color:#5a5a6e;\">Group dinner at Belmonte Ipanema<\/td><\/tr>\n    <\/tbody>\n  <\/table>\n\n  <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; letter-spacing:.08em; text-transform:uppercase; color:#0b5d8f; font-weight:700; margin:24px 0 8px;\">Friday, 27 February<\/p>\n  <table style=\"width:100%; border-collapse:collapse; font-family:Arial,Helvetica,sans-serif; font-size:15px; margin:0 0 20px;\">\n    <tbody>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap; width:130px;\">08:30&ndash;10:00<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e;\">Morning walk to Vista Chinesa (optional)<\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">10:00&ndash;10:20<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec;\">Mateus Blanco de Sousa <span style=\"font-size:11px; color:#5a5a6e; border:1px solid #e4e4ec; border-radius:99px; padding:2px 8px; margin-left:6px;\">Short talk<\/span><\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">10:20&ndash;10:40<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec;\">Ana Cl&aacute;udia Rodrigues e Silva <span style=\"font-size:11px; color:#5a5a6e; border:1px solid #e4e4ec; border-radius:99px; padding:2px 8px; margin-left:6px;\">Short talk<\/span><\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">10:40&ndash;11:10<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e;\">Coffee break<\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">11:10&ndash;12:00<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec;\">Wei Hao Tey<\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">12:00&ndash;13:30<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e;\">Lunch break<\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">13:30&ndash;14:20<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec;\">Konstantinos Kourliouros<\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">14:20&ndash;14:40<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec;\">Michal Fedorowicz <span style=\"font-size:11px; color:#5a5a6e; border:1px solid #e4e4ec; border-radius:99px; padding:2px 8px; margin-left:6px;\">Short talk<\/span><\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e; white-space:nowrap;\">14:40&ndash;15:00<\/td><td style=\"padding:9px 0; border-bottom:1px solid #e4e4ec; color:#5a5a6e;\">Coffee break<\/td><\/tr>\n      <tr><td style=\"padding:9px 12px 9px 0; color:#5a5a6e; white-space:nowrap;\">15:00&ndash;15:50<\/td><td style=\"padding:9px 0;\">Eddie Nijholt<\/td><\/tr>\n    <\/tbody>\n  <\/table>\n\n  <!-- SPEAKERS -->\n  <h3 style=\"font-family:Arial,Helvetica,sans-serif; font-size:20px; color:#1a1a2e; margin:36px 0 12px;\">Speakers and talks<\/h3>\n  <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:14px; color:#5a5a6e; margin:0 0 16px;\">Click a title to read the abstract.<\/p>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Moacir Aloisio &mdash; Intermittent Diffusion and Subdiffusion in Random Walks with Bounded Potentials<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">University of S&atilde;o Paulo (USP)<\/p>\n    <p style=\"font-size:16px; color:#5a5a6e; margin:10px 0 0;\">One-dimensional reversible random walks on &#8484; driven by a bounded potential v : &#8484; &rarr; &#8477; are studied through the growth of the second moment M&#8322;(n,v) = E(|X&#8345;|&sup2;), for which upper and lower polynomial growth exponents are defined. For a generic potential in the product topology (in the sense of Baire), the upper exponent equals 1\/2 while the lower exponent equals 0. Topologically typical dynamics therefore exhibit an intermittent regime in which arbitrarily long diffusive time scales coexist with arbitrarily long trapping time scales. This raises the problem of constructing explicit deterministic potentials realising prescribed intermittent time scales, as well as the possibility of potentials for which the two exponents coincide at a value in (0, 1\/2).<\/p>\n  <\/details>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Sajjad Bakrani, Alice de Lorenci &amp; Tiago Pereira &mdash; Robust reconstruction of sparse network dynamics<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">University of S&atilde;o Paulo (USP)<\/p>\n    <p style=\"font-size:16px; color:#5a5a6e; margin:10px 0 0;\">Reconstructing the network interaction structure from multivariate time series is an important problem across many fields. When the network dynamics is written as a linear combination of multivariate polynomials, the reconstruction becomes an optimisation problem &mdash; but for large networks this problem does not always have a unique solution, leading to wrong reconstructions. The Ergodic Basis Pursuit (EBP) method leverages the statistical properties of the network dynamics to accurately reconstruct sparse networks: the restricted isometry property of the associated library matrix, a crucial condition for unique reconstruction, can be derived from the ergodic properties of the dynamics. Reconstruction is unique when the data length scales quadratically with node degree and logarithmically with network size. Compared to traditional methods, EBP needs significantly less data and is robust to noise, as validated on experimental time series from optoelectronic networks.<\/p>\n  <\/details>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Zheng Bian &mdash; Dimensional reduction in (Random) Network Dynamics<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">UNSW Sydney<\/p>\n    <p style=\"font-size:16px; color:#5a5a6e; margin:10px 0 0;\">A gentle introduction to network dynamics, the role randomness can play in this setting, some of the open challenges, an overview of the state of the art and pointers to current research directions.<\/p>\n  <\/details>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Chris Chalhoub &mdash; On the escape of trajectories for random dynamical systems<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">Imperial College London<\/p>\n    <p style=\"font-size:16px; color:#5a5a6e; margin:10px 0 0;\">Products of i.i.d. random matrices sampled according to a probability measure on GL(d,&#8477;) are considered. The transition to a zero top Lyapunov exponent regime is studied, showing that the expected number of back-and-forth escapes from a neighbourhood scales as 1\/|&lambda;| as &lambda; approaches 0. Regularity of Lyapunov moments and invariant measures with respect to the underlying probability measure is also discussed.<\/p>\n  <\/details>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Michal Fedorowicz &mdash; Invariant Sets of Differential Equations with Bounded Noise<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">Imperial College London<\/p>\n    <p style=\"font-size:16px; color:#5a5a6e; margin:10px 0 0;\">Differential equations with bounded noise of the form &#7819; = f(x) + &xi;(t), with |&xi;(t)| &lt; &epsilon;, are studied. The resulting set-valued dynamics exhibit finite-speed propagation, but determining reachable sets requires optimisation over an infinite-dimensional family of admissible noise realisations. Interpreting the noise as a control input, techniques from optimal control &mdash; specifically a Pontryagin-type maximum principle &mdash; can be used to select the extremal realisations that govern the boundary evolution of reachable sets. This leads to a higher-dimensional but deterministic dynamical system closely related to the original random differential equation, establishing a correspondence between invariant objects in the stochastic system and invariant manifolds of the deterministic one.<\/p>\n  <\/details>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Bella Figliaggi &mdash; Markov Operators and Stationary Measures<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">University of S&atilde;o Paulo (USP)<\/p>\n    <p style=\"font-size:16px; color:#5a5a6e; margin:10px 0 0;\">Results on the existence and stability of stationary measures for random dynamical systems within the framework of Markov operators. In this setting, stationary measures are fixed points of the associated Markov operator, and the stability properties of these fixed points provide information about the ergodic behaviour of the system.<\/p>\n  <\/details>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Emilia Gibson &mdash; Learning random dynamical systems from data<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">Imperial College London<\/p>\n    <p style=\"font-size:16px; color:#5a5a6e; margin:10px 0 0;\">Methodologies to learn random iterated function systems from time series of partial observations, using delay embeddings.<\/p>\n  <\/details>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Konstantinos Kourliouros &mdash; Geometric Theory of Random Dynamical Systems with Bounded Noise<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">Imperial College London<\/p>\n    <p style=\"font-size:16px; color:#5a5a6e; margin:10px 0 0;\">A geometric theory for random dynamical systems with bounded noise, based on the boundary map (or flow). The focus is on structural properties of deterministic attractors and how these reflect statistical features of the orbits through stationary probability measures, including regularity and singularities, stability under perturbations, local and global bifurcation scenarios, and directions for coupled and networked systems.<\/p>\n  <\/details>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Jeroen Lamb &mdash; Random network dynamics: some challenges and opportunities<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">Imperial College London<\/p>\n  <\/details>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Matheus Manzatto &mdash; Building thermodynamic formalism for hyperbolic random dynamical systems<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">State University of Campinas (UNICAMP)<\/p>\n    <p style=\"font-size:16px; color:#5a5a6e; margin:10px 0 0;\">Conditions under which thermodynamic formalism can be built for families of random hyperbolic diffeomorphisms are presented, together with the uniqueness of equilibrium states and their statistical properties. Joint work with Lucas Amorim, Beno&icirc;t Saussol and Sandro Vaienti.<\/p>\n  <\/details>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Eddie Nijholt &mdash; Hypernetworks induce stable hyperlocking<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">University of S&atilde;o Paulo (USP)<\/p>\n    <p style=\"font-size:16px; color:#5a5a6e; margin:10px 0 0;\">A synchronisation phenomenon distinctive of hypernetworks, called hyperlocking, is presented. A system of three coupled oscillators with nearly identical frequencies interacts through a triadic hypernetwork motif in which one node modulates the interaction between the other two. Using normal form transformations and phase reduction, it is derived analytically how a specific choice of coupling functions induces hyperlocking; the predictions are confirmed with numerical simulations and chemical experiments.<\/p>\n  <\/details>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Ana Cl&aacute;udia Rodrigues e Silva &mdash; Invariant Measures for Random Iterated Function Systems<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">University of S&atilde;o Paulo (USP)<\/p>\n    <p style=\"font-size:16px; color:#5a5a6e; margin:10px 0 0;\">Random dynamical systems generated by the independent and identically distributed iteration of contractions &mdash; Iterated Function Systems &mdash; are studied. The asymptotic behaviour of random orbits is investigated and a characterisation of their attractors is provided. The main result establishes the existence and uniqueness of stationary measures for these systems, a property commonly known as the Letac principle.<\/p>\n  <\/details>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Mateus Blanco de Sousa &mdash; Iterated Function Systems with Innovations<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">University of S&atilde;o Paulo (USP)<\/p>\n    <p style=\"font-size:16px; color:#5a5a6e; margin:10px 0 0;\">Random Iterated Function Systems in random environments are studied as a framework for modelling adaptive systems. Unlike classical i.i.d. IFS, where maps are chosen independently from a fixed distribution, this model introduces an underlying environment that evolves over time: the choice of the map depends both on the current environmental state and on a source of independent innovation. While the specific choice at each step is random, the available options are dictated by the shifting background of the environment.<\/p>\n  <\/details>\n\n  <details style=\"border:1px solid #e4e4ec; border-radius:10px; padding:12px 14px; margin:0 0 10px; background:#f7f8fa;\">\n    <summary style=\"cursor:pointer; font-family:Arial,Helvetica,sans-serif; font-size:16px; font-weight:700; color:#1a1a2e;\">Wei Hao Tey &mdash; Bifurcations of the H&eacute;non map with bounded noise<\/summary>\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:13px; color:#5a5a6e; margin:8px 0 0;\">Imperial College London<\/p>\n    <p style=\"font-size:16px; color:#5a5a6e; margin:10px 0 0;\">Numerical explorations of bifurcations of attractors in the H&eacute;non map with additive bounded noise. The bifurcations are analysed via a finite-dimensional boundary map that preserves the normal bundles of the boundaries of the attractors, and the challenges arising in the presence of chaotic dynamics are discussed.<\/p>\n  <\/details>\n\n  <!-- ORGANIZERS -->\n  <h3 style=\"font-family:Arial,Helvetica,sans-serif; font-size:20px; color:#1a1a2e; margin:36px 0 12px;\">Organizers<\/h3>\n  <ul style=\"margin:0 0 20px; padding-left:22px;\">\n    <li style=\"margin:8px 0;\">Zheng Bian, UNSW Sydney<\/li>\n    <li style=\"margin:8px 0;\">Jeroen Lamb, Imperial College London<\/li>\n    <li style=\"margin:8px 0;\">Tiago Pereira, ICMC &mdash; USP<\/li>\n  <\/ul>\n\n  <!-- SHARE -->\n  <div style=\"margin:38px 0 22px; padding-top:22px; border-top:1px solid #e4e4ec;\">\n    <p style=\"font-family:Arial,Helvetica,sans-serif; font-size:12px; letter-spacing:.12em; text-transform:uppercase; color:#5a5a6e; margin:0 0 12px;\">Share<\/p>\n    <div style=\"display:flex; flex-wrap:wrap; gap:10px;\">\n      <a class=\"rc-share\" data-net=\"facebook\" href=\"#\" target=\"_blank\" rel=\"noopener\" style=\"display:inline-flex; 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font-size:13px; color:#5a5a6e; line-height:1.6; margin:0; padding-top:16px; border-top:1px solid #e4e4ec;\">\n    Satellite meeting linked to\n    <a href=\"https:\/\/arquimedes.nce.ufrj.br\/dm\/icrdsrf\/\" target=\"_blank\" rel=\"noopener\" style=\"color:#0b5d8f;\">RDS Rio26 &mdash; International Conference on Random Dynamical Systems and Related Fields<\/a>,\n    IMPA, Rio de Janeiro, 26&ndash;27 February 2026.\n  <\/p>\n\n  <script>\n  (function(){\n    var u = encodeURIComponent(window.location.href);\n    var t = encodeURIComponent(document.title || 'Satellite Meeting on Random Dynamical Systems and Network Dynamics');\n    var links = {\n      facebook: 'https:\/\/www.facebook.com\/sharer\/sharer.php?u=' + u,\n      whatsapp: 'https:\/\/api.whatsapp.com\/send?text=' + t + '%20' + u,\n      x:        'https:\/\/twitter.com\/intent\/tweet?url=' + u + '&text=' + t,\n      linkedin: 'https:\/\/www.linkedin.com\/sharing\/share-offsite\/?url=' + u\n    };\n    var els = document.querySelectorAll('.rc-share');\n    for (var i = 0; i < els.length; i++) {\n      var net = els[i].getAttribute('data-net');\n      if (links[net]) { els[i].setAttribute('href', links[net]); }\n    }\n  })();\n  <\/script>\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Event report &middot; 26&ndash;27 February 2026 A two-day satellite meeting at IMPA, in Rio de Janeiro, brought together researchers working at the interface of ergodic theory, random dynamical systems and complex networks. On 26 and 27 February 2026, IMPA hosted the Satellite Meeting on Random Dynamical Systems and Network Dynamics, held alongside RDS Rio26 &mdash; [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":1403,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9,5],"tags":[],"class_list":["post-1402","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-awards-recognition","category-events-workshops"],"rttpg_featured_image_url":{"full":["https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-content\/uploads\/2026\/08\/Screenshot_20260826_141718.png",820,649,false],"landscape":["https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-content\/uploads\/2026\/08\/Screenshot_20260826_141718.png",820,649,false],"portraits":["https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-content\/uploads\/2026\/08\/Screenshot_20260826_141718.png",820,649,false],"thumbnail":["https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-content\/uploads\/2026\/08\/Screenshot_20260826_141718-150x150.png",150,150,true],"medium":["https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-content\/uploads\/2026\/08\/Screenshot_20260826_141718-300x237.png",300,237,true],"large":["https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-content\/uploads\/2026\/08\/Screenshot_20260826_141718.png",820,649,false],"1536x1536":["https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-content\/uploads\/2026\/08\/Screenshot_20260826_141718.png",820,649,false],"2048x2048":["https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-content\/uploads\/2026\/08\/Screenshot_20260826_141718.png",820,649,false],"bdpp-medium":["https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-content\/uploads\/2026\/08\/Screenshot_20260826_141718-640x480.png",640,480,true]},"rttpg_author":{"display_name":"tiago pereira","author_link":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/author\/tiago-p\/"},"rttpg_comment":0,"rttpg_category":"<a href=\"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/category\/awards-recognition\/\" rel=\"category tag\">Awards &amp; Recognition<\/a> <a href=\"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/category\/events-workshops\/\" rel=\"category tag\">events-workshops<\/a>","rttpg_excerpt":"Event report &middot; 26&ndash;27 February 2026 A two-day satellite meeting at IMPA, in Rio de Janeiro, brought together researchers working at the interface of ergodic theory, random dynamical systems and complex networks. On 26 and 27 February 2026, IMPA hosted the Satellite Meeting on Random Dynamical Systems and Network Dynamics, held alongside RDS Rio26 &mdash;&hellip;","_links":{"self":[{"href":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-json\/wp\/v2\/posts\/1402","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-json\/wp\/v2\/comments?post=1402"}],"version-history":[{"count":1,"href":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-json\/wp\/v2\/posts\/1402\/revisions"}],"predecessor-version":[{"id":1404,"href":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-json\/wp\/v2\/posts\/1402\/revisions\/1404"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-json\/wp\/v2\/media\/1403"}],"wp:attachment":[{"href":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-json\/wp\/v2\/media?parent=1402"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-json\/wp\/v2\/categories?post=1402"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cemeai.icmc.usp.br\/Reconnect\/wp-json\/wp\/v2\/tags?post=1402"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}