Selected Talks of Richard S. Ellis
From Large Deviations to Statistical Mechanics: What Is the Most
Likely Way for an Unlikely Event To Happen? An introduction to
the theory of large deviations given on June 30, 2010 at the
Berlin Colloquium for Probability Theory, which is joint with
Technical University Berlin, Humboldt University, and the Weierstrass
Institute for Applied Analysis and Stochastics.
Ginzburg-Landau Polynomials and the Asymptotic Behavior of
the Magnetization in the Neighborhood of a Tricritical Point.
A talk given at the Workshop on Dynamics and Thermodynamics of
Systems with Long-Range Interactions: Theory and Experiments,
held in Assisi (Perugia), Italy on July 4–8, 2007.
36 Limit Theorems for Sums of Dependent Random Variables Occurring in
Statistical Mechanics. A talk given in the Seminar in Probability
and Stochastic Processes at the Technion–Israel Institute of
Technology in Haifa, Israel. The date of the talk was June 27, 2006.
Global Optimization, Generalized Canonical Ensembles, and Universal
Ensemble Equivalence. A talk given at the
Florence Meeting on Long-Range Interactions and Ensemble
Inequivalence, held at the University of Florence in
Florence, Italy on June 28–29, 2005.
Relationships of Solutions of
Constrained and Unconstrained Minimization Problems with Applications
to Nonequivalence of Ensembles in Statistical Mechanics.
A talk given at the conference Asymptotic
Problems in Stochastic Processes and PDE's,
which celebrated the 65th birthday of Mark I. Freidlin.
The conference took place May 29–31, 2003
at the University of Maryland.
- Statistical mechanical ensembles: short review
- Large deviation methodology
- Thermodynamic nonequivalence
- Macrostate nonequivalence
- Comments on models of turbulence
- Illustration of results: mean-field Blume-Emery-Griffiths spin model
- Relationship with phase transitions
Entropy, Large Deviations, and Statistical
Mechanics. A talk given at the conference Predictability:
Quantifying Uncertainty in Models of Complex Phenomena. The
conference took place May 11–15, 1998 at the Center
for Nonlinear Studies at Los Alamos National Laboratory in Los Alamos,
- Basic ideas in large deviations
- Analysis of a basic model of ferromagnetism
- A general approach to the analysis of statistical mechanical
- Derivation of maximum-entropy principles in two-dimensional