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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] Mathematical methods for hydrodynamic limits
A DeMasi, E Presutti - 2006 - books.google.com
Entropy inequalities, correlation functions, couplings between stochastic processes are
powerful techniques which have been extensively used to give arigorous foundation to the …
powerful techniques which have been extensively used to give arigorous foundation to the …
Approach to equilibrium of Glauber dynamics in the one phase region: I. The attractive case
Various finite volume mixing conditions in classical statistical mechanics are reviewed and
critically analyzed. In particular some finite size conditions are discussed, together with their …
critically analyzed. In particular some finite size conditions are discussed, together with their …
Metastable lifetimes in a kinetic Ising model: Dependence on field and system size
The lifetimes of metastable states in kinetic Ising ferromagnets are studied by droplet theory
and Monte Carlo simulation, in order to determine their dependences on applied field and …
and Monte Carlo simulation, in order to determine their dependences on applied field and …
Monte Carlo algorithms with absorbing Markov chains: Fast local algorithms for slow dynamics
A class of Monte Carlo algorithms which incorporate absorbing Markov chains is presented.
In a particular limit, the lowest order of these algorithms reduces to the n-fold way algorithm …
In a particular limit, the lowest order of these algorithms reduces to the n-fold way algorithm …
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 in Glauber dynamics in the low-temperature limit: beyond exponential asymptotics
We consider Glauber dynamics of classical spin systems of Ising type in the limit when the
temperature tends to zero in finite volume. We show that information on the structure of the …
temperature tends to zero in finite volume. We show that information on the structure of the …
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 …