Dynamically generated dimension reduction and crossover in a spin-orbital model

Degree Correlations in a Dynamically Generated Model Food Web

We explore aspects of the community structures generated by a simple predator-prey model of biological coevolution, using large-scale kinetic Monte Carlo simulations. The model accounts for interspecies and intraspecies competition for resources, as well as adaptive foraging behavior. It produces a metastable low-diversity phase and a stable high-diversity phase. The structures and joint indegr...

Spin, Orbital, and Spin-Orbital Polarons in Transition Metal Oxides

I give a brief overview of a polaron formation in three distinct transition metal oxides: (i) spin polaron when a hole is added to the antiferromagnetic (AF) ordered plane in La2CuO4, (ii) orbital polaron when a hole is added to the alternating orbital (AO) ordered plane in LaMnO3, and (iii) spin-orbital polaron when a hole is added to the AF and AO ordered plane in LaVO3. Comparison of the dis...

Interfaces and louver critical dimension in a spin glass model

In this paper we try to estimate the lower cntical dimension for replica symmetry

A mixture model for dimension reduction

Dynamically Deened Recurrence Dimension

In this paper, we introduce and characterize the dynamically deened recurrence dimension, a new topological invariant number, following the idea of a previous article 9], but with some modiications and improvements. We study some example of Toeplitz subshifts for which we can show that the recurrence dimension is a topologically invariant number diierent from the topological entropy.