XIV Symposium on Probability and Stochastic Processes - CIMAT, Mexico, November 20-24, 2023

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:

• Bienaymé Galton Watson trees
• Infinite-mode Boson-Gaussian states
• Mean-field games
• The Deep Linear Network

List of contents

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 Randic 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.

Summary

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:

• Bienaymé–Galton–Watson trees
• Infinite-mode Boson-Gaussian states
• Mean-field games
• The Deep Linear Network

Product details

• Assisted by: José Alfredo López Mimbela (Editor), Carmen Geraldi Higuera Chan (Editor), Sergio I López et al (Editor), Sergio I. López (Editor), José Alfredo López Mimbela (Editor), Carlos G. Pacheco (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 08.12.2025
• EAN: 9783031961175
• ISBN: 978-3-0-3196117-5
• No. of pages: 281
• Illustrations: VIII, 281 p. 24 illus., 14 illus. in color.
• Series: Progress in Probability
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; Stochastik, Probability Theory, Stochastic Processes, Nash equilibrium, Stochastic partial differential equations, Mean-field games, Infinite-mode Boson-Gaussian states, Markov games, Canonical Commutation Relations, Population genetic models, Stochastic Heat Equation, ARAT games, Yosida approximation, Toeplitz, Szegö limit, Percolation theory, Random Trees