XIV Symposium on Probability and Stochastic Processes

This volume features a collection of papers and lecture notes from the XIV Symposium on Probability and Stochastic Processes, held at the Center for Research in Mathematics (CIMAT), Mexico, in November 2023. Contributions discuss state-of-the-art developments in these fields, encouraging an exchange of ideas between international experts in related disciplines. Specific topics covered include:

• BienayméGaltonWatson trees
• Infinite-mode Boson-Gaussian states
• Mean-field games

• The Deep Linear Network

  Presents an overview of state-of-the-art developments in the fields of probability theory and stochastic processes Highlights recent advances achieved by international researchers with a particular focus on contributions from Mexico Collects papers from the XIV Symposium on Probability and Stochastic Processes held at CIMAT in 2023

  Inhalt

The geometry of the deep linear network.- An introduction to the stochastic heat equation: global existence and blowup.- On the number of crossings in a random labelled tree.- Crossing bridges between percolation models and Bienaymé-Galton-Watson trees.- Asymptotic equivalence of CP Toeplitz maps.- On the analytical approach to infinite-mode Boson-Gaussian states.- Limit theorems for Randi index for Erdös-Rényi graphs.- On stationary Nash equilibria in ARAT games with unbounded payoff functions.- Anti-concentration inequalities for log-concave variables on the real line.- Time-varying discrete-time mean-field games under a discounted criterion.- The frequency process in a non-neutral two-type continuous-state branching process with competition and its genealogy.