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.

GinzburgLandau 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 LongRange 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 LongRange 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: meanfield BlumeEmeryGriffiths spin model
 Relationship with phase transitions
 Conclusion
 Bibliography

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,
New Mexico.
 Basic ideas in large deviations
 Analysis of a basic model of ferromagnetism
 A general approach to the analysis of statistical mechanical
models
 Derivation of maximumentropy principles in twodimensional
turbulence