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40 papers · 1 filter
Faster polynomial multiplication via multipoint Kronecker substitution
David Harvey
We give several new algorithms for dense polynomial multiplication based on the Kronecker substitution method. For moderately sized input polynomials, the new algorithms improve on…
Why many theories of shock waves are necessary. Kinetic functions, equivalent equations, and fourth-order models
Philippe G. LeFloch, Majid Mohammadian
We consider several systems of nonlinear hyperbolic conservation laws describing the dynamics of nonlinear waves in presence of phase transition phenomena. These models admit under…
Single-Sweep Methods for Free Energy Calculations
Luca Maragliano, Eric Vanden-Eijnden
A simple, efficient, and accurate method is proposed to map multi-dimensional free energy landscapes. The method combines the temperature-accelerated molecular dynamics (TAMD) prop…
Universality of REM-like aging in mean field spin glasses
G. Ben Arous, A. Bovier, J. Cerny
Aging has become the paradigm to describe dynamical behavior of glassy systems, and in particular spin glasses. Trap models have been introduced as simple caricatures of effective…
A new proof of Gromov's theorem on groups of polynomial growth
Bruce Kleiner
We give a new proof of Gromov's theorem that any finitely generated group of polynomial growth has a finite index nilpotent subgroup. Unlike the original proof, it does not rely on…
Hausdorff dimension of the SLE curve intersected with the real line
Tom Alberts, Scott Sheffield
We establish an upper bound on the asymptotic probability of an SLE(kappa) curve hitting two small intervals on the real line as the interval width goes to zero, for the range 4 <…