publications

Persistence in nonequilibrium surface growth

M. Constantin 1, 2, Chandan Dasgupta 1, 3, Punyindu Chatraphorn 1, 4, Satya Majumdar 5, 6, S. Das Sarma 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 69 (2004) 061608 Persistence probabilities of the interface height in (1+1)- and (2+1)-dimensional atomistic, solid-on-solid, stochastic models of surface growth are studied using kinetic Monte Carlo simulations, with emphasis on models that belong to the molecular beam epitaxy (MBE) universality […]

Persistence in nonequilibrium surface growth Lire la suite »

Persistence Exponents and the Statistics of Crossings and Occupation Times for Gaussian Stationary Processes

George M. C. A. Ehrhardt 1, Satya Majumdar 2, 3, Alan J. Bray 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 69 (2004) 016106 We consider the persistence probability, the occupation-time distribution and the distribution of the number of zero crossings for discrete or (equivalently) discretely sampled Gaussian Stationary Processes (GSPs) of zero mean. We first consider the Ornstein-Uhlenbeck process,

Persistence Exponents and the Statistics of Crossings and Occupation Times for Gaussian Stationary Processes Lire la suite »

Periodic orbit spectrum in terms of Ruelle–Pollicott resonances

Patricio Leboeuf 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 69 (2004) 026204 Fully chaotic Hamiltonian systems possess an infinite number of classical solutions which are periodic, e.g. a trajectory « p » returns to its initial conditions after some fixed time tau_p. Our aim is to investigate the spectrum tau_1, tau_2, … of periods of the

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Optimization and Physics: On the satisfiability of random Boolean formulae

Marc Mézard 1 Annales de l’Institut Henri Poincare Physique Theorique 4 (2004) S475-S488 LECTURE GIVEN AT TH2002. Given a set of Boolean variables, and some constraints between them, is it possible to find a configuration of the variables which satisfies all constraints? This problem, which is at the heart of combinatorial optimization and computational complexity theory, is

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On the Asymptotic Number of Plane Curves and Alternating Knots

Gilles Schaeffer 1, Paul Zinn-Justin 2 Experimental Mathematics 13 (2004) 4 We present a conjecture for the power-law exponent in the asymptotic number of types of plane curves as the number of self-intersections goes to infinity. In view of the description of prime alternating links as flype equivalence classes of plane curves, a similar conjecture is made for the

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Matrix Integrals and the Generation and Counting of Virtual Tangles and Links

Paul Zinn-Justin 1, Jean-Bernard Zuber 2 Journal of Knot Theory and Its Ramifications 13 (2004) 325-355 Virtual links are generalizations of classical links that can be represented by links embedded in a « thickened » surface $\Sigma\times I$, product of a Riemann surface of genus $h$ with an interval. In this paper, we show that virtual alternating links and tangles are

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