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14 papers · 1 filter
Nonlinear waves in double-stranded DNA
Natalia Komarova, Avy Soffer
We propose a nonlinear model derived from first principles, to describe bubble dynamics of DNA. Our model equations include a term derived from the dissipative effect of intermolec…
Ergodic Averages for Independent Polynomials and Applications
Nikos Frantzikinakis, Bryna Kra
Szemerédi's Theorem states that a set of integers with positive upper density contains arbitrarily long arithmetic progressions. Bergelson and Leibman generalized this, showing tha…
On radial stochastic Loewner evolution in multiply connected domains
Robert O. Bauer, Roland M. Friedrich
We discuss the extension of radial SLE to multiply connected planar domains. First, we extend Loewner's theory of slit mappings to multiply connected domains by establishing the ra…
Rain initiation time in turbulent warm clouds
G. Falkovich, M. G. Stepanov, M. Vucelja
We present a mean-field model that describes droplet growth due to condensation and collisions and droplet loss due to fallout. The model allows for an effective numerical simulati…
Semiclassical methods in 2D QFT: spectra and finite-size effects
Valentina Riva
In this thesis, we describe some recent results obtained in the analysis of two-dimensional quantum field theories by means of semiclassical techniques. These achievements represen…
Non-interactive correlation distillation, inhomogeneous Markov chains, and the reverse Bonami-Beckner inequality
Elchanan Mossel, Ryan O'Donnell, Oded Regev +2
In this paper we study non-interactive correlation distillation (NICD), a generalization of the study of noise sensitivity of boolean functions. We extend the model to NICD on tree…