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Universality in blow-up for nonlinear heat equations

- J. Bricmont, A. Kupiainen
- Mathematics
- 1 June 1993

We consider the classical problem of the blowing-up of solutions of the nonlinear heat equation. We show that there exist infinitely many profiles around the blow-up point, and for each integer k, we… Expand

Renormalization Group and Asymptotics of Solutions of Nonlinear Parabolic Equations

- J. Bricmont, A. Kupiainen, G. Lin
- Mathematics
- 21 June 1993

We present a general method for studying long-time asymptotics of nonlinear parabolic partial differential equations. The method does not rely on a priori estimates such as the maximum principle. It… Expand

Chance in physics : foundations and perspectives

- J. Bricmont
- Physics
- 2001

Bayes, Boltzmann and Bohm: Probabilities in Physics.- Classical Statistical Mechanics.- The Rise of Statistical Mechanics.- Boltzmann's Approach to Statistical Mechanics.- Microscopic Time… Expand

SCIENCE OF CHAOS OR CHAOS IN SCIENCE?

- J. Bricmont
- Physics
- 1 June 1995

I try to clarify several confusions in the popular literature concerning chaos, determinism, the arrow of time, entropy and the role of probability in physics. Classical ideas going back to Laplace… Expand

Percolation in strongly correlated systems: The massless Gaussian field

- J. Bricmont, J. Lebowitz, C. Maes
- Physics
- 1 September 1987

We derive a number of new results for correlated nearest neighbor site percolation onZd. We show in particular that in three dimensions the strongly correlated massless harmonic crystal, i.e., the… Expand

High temperature expansions and dynamical systems

- J. Bricmont, A. Kupiainen
- Physics
- 25 April 1995

We develop a resummed high-temperature expansion for lattice spin systems with long range interactions, in models where the free energy is not, in general, analytic. We establish uniqueness of the… Expand

Random walks in asymmetric random environments

- J. Bricmont, A. Kupiainen
- Mathematics
- 1 December 1991

We consider random walks on Zd with transition ratesp(x, y) given by a random matrix. Ifp is a small random perturbation of the simple random walk, we show that the walk remains diffusive for almost… Expand

Phase transition in the 3d random field Ising model

- J. Bricmont, A. Kupiainen
- Mathematics
- 1 December 1988

We show that the three-dimensional Ising model coupled to a small random magnetic field is ordered at low temperatures. This means that the lower critical dimension,dl for the theory isdl≦2, settling… Expand

Making Sense of Quantum Mechanics

- J. Bricmont
- Psychology
- 14 January 2016

This book explains, in simple terms, with a minimum of mathematics, why things can appear to be in two places at the same time, why correlations between simultaneous events occurring far apart cannot… Expand

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