4 papers · 1 filter
Elephant Reinforced Galves-Löcherbach Networks
Ioannis Papageorgiou
We introduce an infinite-dimensional Galves--Löcherbach system with bounded Elephant-type reinforced synaptic interactions. The reinforcement mechanism modifies the probabilities o…
A Poincaré Inequality and Exponential Decay for the Elephant Random Walk
Cristian Favio Coletti, Rafael de Mattos Grisi, Ioannis Papageorgiou
We study the long-time behaviour of a coninuous time one-dimensional elephant random walk with an absorbing boundary. By analyzing the associated evolution equation, we identify a…
Replica Mean Field limits for neural networks with excitatory and inhibitory activity
Ioannis Papageorgiou
We study Replica Mean Field limits for a neural system of infinitely many neurons with both inhibitory and excitatory interactions. As a result we obtain an analytical characterisa…
The log-Sobolev inequality for spin systems of higher order interactions
Takis Konstantopoulos, Ioannis Papageorgiou
We study the infinite-dimensional log-Sobolev inequality for spin systems on with interactions of power higher than quadratic. We assume that the one site measure wi…