# Coupling, concentration inequalities, and stochastic dynamics

## Related Articles

- Tikhonov's theorem on passage to the limit and pseudoholomorphic solutions of singularly perturbed problems. Kachalov, V. // Doklady Mathematics;Sep2014, Vol. 90 Issue 2, p616
The article discusses a study that illustrates the role of Tikhonov's theorem in solving perturbed problems. It describes the method of the study that uses the PoincarÃ©'s well-known decomposition theorem for the equation. It outlines the result of the study which indicates that the Tikhonov's...

- On the Zero-Temperature Limit of Gibbs States. Chazottes, Jean-René; Hochman, Michael // Communications in Mathematical Physics;Jul2010, Vol. 297 Issue 1, p265
We exhibit Lipschitz (and hence HÃ¶lder) potentials on the full shift $${\{0,1\}^{\mathbb{N}}}$$ such that the associated Gibbs measures fail to converge as the temperature goes to zero. Thus there are â€œexponentially decayingâ€ interactions on the configuration space...

- Uniform Approximation by the Class of Functions with Bounded Derivative. Mironenko, A. V. // Mathematical Notes;Nov/Dec2003, Vol. 74 Issue 5/6, p656
In the paper, the problem of uniform approximation of a continuous function defined on an interval is considered. The approximating functions have absolutely continuous derivatives of order $(n-\; 1)$ and derivatives of order $n$ bounded in absolute value. An alternance...

- ON ARTIN'S BRAID GROUP AND POLYCONVEXITY IN THE CALCULUS OF VARIATIONS. ALI TAHERI // Journal of the London Mathematical Society;Jun2003, Vol. 67 Issue 3, p752
Let $\Omega \subset \R^2$ be a bounded Lipschitz domain and let \[ F: \Omega \times {\mathbb R}_{+}^{2 \times 2} \longrightarrow {\mathbb R} \] be a CarathÃ¨odory integrand such that $F\left(x, \cdot\right)$ is polyconvex for ${\mathcal L}^2$-a.e. $x \in...

- NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR ELLIPTIC CONTROL PROBLEMS WITH FINITELY MANY POINTWISE STATE CONSTRAINTS. Casas, Eduardo // ESAIM: Control, Optimisation & Calculus of Variations;Jul2008, Vol. 14 Issue 3, p575
The goal of this paper is to prove the first and second order optimality conditions for some control problems governed by semilinear elliptic equations with pointwise control constraints and finitely many equality and inequality pointwise state constraints. To carry out the analysis we formulate...

- Generic two-phase coexistence in nonequilibrium systems. Muñoz, M. A.; De los Santos, F.; Da Gama, M. M. Telo // European Physical Journal B -- Condensed Matter;Jan2005, Vol. 43 Issue 1, p73
A beautifully simple model introduced a couple of decades ago, Toomâ€™s cellular automaton, revealed that non-equilibrium systems may exhibit generic bistability, i.e. two-phase coexistence over a finite area of the (two-dimensional) phase diagram, in violation of the equilibrium Gibbs...

- Isogonal Conjugates in PoincarÃ© Upper Half Plane. // Gazi University Journal of Science;2011, Vol. 24 Issue 1, p41
No abstract available.

- Deformations of Quantum Field Theories and Integrable Models. Lechner, Gandalf // Communications in Mathematical Physics;May2012, Vol. 312 Issue 1, p265
Deformations of quantum field theories which preserve PoincarÃ© covariance and localization in wedges are a novel tool in the analysis and construction of model theories. Here a general scenario for such deformations is discussed, and an infinite class of explicit examples is constructed on...

- Bifurcation Diagrams and Heteroclinic Networks of Octagonal H-Planforms. Faye, Grégory; Chossat, Pascal // Journal of Nonlinear Science;Jun2012, Vol. 22 Issue 3, p277
This paper completes the classification of bifurcation diagrams for H-planforms in the PoincarÃ© disc $\mathcal {D}$ whose fundamental domain is a regular octagon. An H-planform is a steady solution of a PDE or integro-differential equation in $\mathcal {D}$, which is invariant under the...