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The spread of innovations in social networks
Which network structures favor the rapid spread of new ideas, behaviors, or technologies?
This question has been studied extensively using epidemic models. Here we consider a …
This question has been studied extensively using epidemic models. Here we consider a …
[ספר][B] Entropy
A Greven, G Keller, G Warnecke - 2014 - books.google.com
The concept of entropy arose in the physical sciences during the nineteenth century,
particularly in thermodynamics and statistical physics, as a measure of the equilibria and …
particularly in thermodynamics and statistical physics, as a measure of the equilibria and …
Tunneling and metastability of continuous time Markov chains
We propose a definition of tunneling and of metastability for a continuous time Markov
process on countable state spaces. We obtain sufficient conditions for a irreducible positive …
process on countable state spaces. We obtain sufficient conditions for a irreducible positive …
Metastability of synchronous and asynchronous dynamics
Metastability is a ubiquitous phenomenon in nature, which interests several fields of natural
sciences. Since metastability is a genuine non-equilibrium phenomenon, its description in …
sciences. Since metastability is a genuine non-equilibrium phenomenon, its description in …
Metastability and nucleation for the Blume-Capel model. Different mechanisms of transition
We study metastability and nucleation for the Blume-Capel model: a ferromagnetic nearest
neighbor two-dimensional lattice system with spin variables taking values in {− 1, 0,+ 1}. We …
neighbor two-dimensional lattice system with spin variables taking values in {− 1, 0,+ 1}. We …
Markov chains with exponentially small transition probabilities: first exit problem from a general domain. I. The reversible case
E Olivieri, E Scoppola - Journal of statistical physics, 1995 - Springer
We consider general ergodic aperiodic Markov chains with finite state space whose
transition probabilities between pairs of different communicating states are exponentially …
transition probabilities between pairs of different communicating states are exponentially …
Metastability of the three dimensional Ising model on a torus at very low temperatures
E lectr oni c J ou rnal of P r oba bility Vol. 1 (1996) Paper no. 10, pages 1–55. Journal URL
http://www.math.washington.edu Page 1 E lectr oni c J o u rnal o f P r oba bility Vol. 1 (1996) …
http://www.math.washington.edu Page 1 E lectr oni c J o u rnal o f P r oba bility Vol. 1 (1996) …
Metastable markov chains
C Landim - 2019 - projecteuclid.org
Metastable Markov chains Page 1 Probability Surveys Vol. 16 (2019) 143–227 ISSN: 1549-5787
https://doi.org/10.1214/18-PS310 Metastable Markov chains Claudio Landim IMPA, Estrada …
https://doi.org/10.1214/18-PS310 Metastable Markov chains Claudio Landim IMPA, Estrada …
On the essential features of metastability: tunnelling time and critical configurations
F Manzo, FR Nardi, E Olivieri, E Scoppola - Journal of Statistical Physics, 2004 - Springer
Abstract We consider Metropolis Markov chains with finite state space and transition
probabilities of the form P (η, η')= q (η, η') e^-β H (η')-H (η) _+ for given energy function H …
probabilities of the form P (η, η')= q (η, η') e^-β H (η')-H (η) _+ for given energy function H …
Convergence to equilibrium in local interaction games
We study a simple game-theoretic model for the spread of an innovation in a network. The
diffiusion of the innovation is modeled as the dynamics of a coordination game in which the …
diffiusion of the innovation is modeled as the dynamics of a coordination game in which the …