Our goal is to develop a generic framework for converting modern
gradient-descent based optimization algorithms into mechanisms
where inputs come from self-interested agents.
We focus on aggregating preferences from n players in a
context...
We review results about random walks on groups, discussing
results and conjectures relating critical constant for
recurrence/transience, growth and Poisson boundary.
Much less is known about behavior of random walks on Schreier
graphs. Since any...
For each central charge c∈(0,1], we construct a conformally
invariant field which is a measurable function of the local time
field L of the Brownian loop soup with intensity c and i.i.d. signs
given to each cluster. This field is canonically...
In this talk, we start by reviewing recent results on the
dynamics of Reeb vector fields defined by contact forms on
three-dimensional manifolds, and then introduce Reeb fields defined
by stable Hamiltonian structures. These are more general and...
This presentation will explore the nature of the Elijah
traditions in rabbinic literature and their connection to the
wisdom tradition. By examining the diverse Elijah traditions in
connection to the wisdom and apocalyptic traditions, I aim to
shed...
The behavior of quadratic twists of modular L-functions is at
the critical point is related both to coefficients of half integer
weight modular forms and data on elliptic curves. Here we
describe a proof of an asymptotic for the second moment of...
We identify the microstates of the non–supersymmetric,
asymptotically flat 2d black hole in the dual c = 1 matrix
quantum mechanics (MQM). We calculate the partition function of the
theory using Hamiltonian methods and reproduce one of two...
According to the AdS/CFT correspondence, the geometries of
certain spacetimes are fully determined by quantum states that live
on their boundaries -- indeed, by the von Neumann entropies of
portions of those boundary states. This work investigates...
Bulk reconstruction is an important step in establishing the
dictionary between boundary and bulk quantities in holographic
theories. If the starting point is a quantum theory which serves as
the putative boundary model, in what cases can one...
