26,035 research outputs found
A (2+1)-dimensional Gaussian field as fluctuations of quantum random walks on quantum groups
This paper introduces a (2+1)-dimensional Gaussian field which has the
Gaussian free field on the upper half-plane with zero boundary conditions as
certain two-dimensional sections. Along these sections, called space-like
paths, it matches the Gaussian field from eigenvalues of random matrices and
from a growing random surface. However, along time-like paths the behavior is
different.
The Gaussian field arises as the asymptotic fluctuations in quantum random
walks on quantum groups U_q(gl_n). This quantum random walk is a q-deformation
of previously considered quantum random walks. The construction is accomplished
utilizing Etingof-Kirillov difference operators in place of differential
operators on GL(n). When restricted to the space-like paths, the moments of the
quantum random walk match the moments of the growing random surface
Progress, challenges, and responsibilities in retrovirology
In this editorial, Retrovirology's choice for best basic science "retrovirus paper of the year" and a perspective on challenges and responsibilities facing HIV-1 and HTLV-I research are presented
Hybrid Bounds on Twisted L-Functions Associated to Modular Forms
For a primitive holomorphic cusp form of even weight , level
, and a Dirichlet character mod with , we establish a
new hybrid subconvexity bound for , which improves upon
all known hybrid bounds. This is done via amplification and taking advantage of
a shifted convolution sum of two variables defined and analyzed in a recent
paper of Hoffstein and Hulse.Comment: Updated version removes the restriction of level being square-fre
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