Similar to the Rényi information, the Augustin information is a generalization of the mutual information relying on the Rényi divergence. Unlike the order α Rényi information, however, the order α Augustin information does not have a closed form exp…

For any channel, the existence of a unique Augustin mean is established for any positive order and probability mass function on the input set. The Au…

We give a recursive formula for the Moebius function of an interval $[\sigma,\pi]$ in the poset of permutations ordered by pattern containment in the…

Theorem 4.2.4 implies that the mod p differential operators from Section 3 map Hecke eigenforms to Hecke eigenforms. When there are Galois representations arising from the corresponding systems of Hecke eigenvalues, it is natural to ask how our diff…

The main goal of this paper is to describe the effect of certain differential operators on mod $p$ Galois representations associated to automorphic f…

We present sCOLA -- an extension of the N-body COmoving Lagrangian Acceleration (COLA) method to the spatial domain. Similar to the original temporal…

Dynamical systems are frequently used to model biological systems. When these models are fit to data it is necessary to ascertain the uncertainty in …

We specialize the decoupled extended Kalman filter (DEKF) for online parameter learning in factorization models, including factorization machines, ma…

Due to the kinematic reversibility of Stokes flow, a body executing a reciprocal motion (a motion in which the sequence of body configurations remain…

The unprecedented availability of large-scale human behavioral data is profoundly changing the world we live in. Researchers, companies, governments,…

We present a cosmographic study designed to test the simplest type of accelerating cosmology: a flat universe with matter and a cosmological constant…

The theoretical basis for conventional acquisition of bandlimited signals typically relies on uniform time sampling and assumes infinite-precision am…

The final version of this paper has been published in IEEEXplore available at http://ieeexplore.ieee.org/document/7727213. Please cite this paper as:…

The phase behavior of rodlike molecules with polydisperse length and solvent-mediated attraction and repulsion is described by an extension of the On…

We report thermodynamic measurements of the S=1/2 kagome lattice antiferromagnet ZnCu$_{3}$(OH)$_{6}$Cl$_{2}$, a promising candidate system with a sp…

We introduce and test an algorithm that adaptively estimates large deviation functions characterizing the fluctuations of additive functionals of Mar…

Let Ω be the set of outcomes from the complete probability space (Ω,F,P), where F is a sigma algebra of events and P is a probability measure. Define LqP(Ω), q∈[1,∞], as the space of random variables such that

In this work we consider the problem of approximating the statistics of a given Quantity of Interest (QoI) that depends on the solution of a linear e…

New physics can emerge in magnetic materials where quantum fluctuations are enhanced due to reduced dimensionality and strong frustration. One long s…

In cell membranes, proteins and lipids diffuse in a highly crowded and heterogeneous landscape, where aggregates and dense domains of proteins or lip…

We present the catalog of sources detected in 70 months of observations of the BAT hard X-ray detector on the Swift gamma-ray burst observatory. The …

We consider the problem of recovering a function over the space of permutations (or, the symmetric group) over $n$ elements from given partial information; the partial information we consider is related to the group theoretic Fourier Transform of th…

We consider the problem of recovering a function over the space of permutations (or, the symmetric group) over $n$ elements from given partial inform…

We propose a class of spherical wavelet bases for the analysis of geophysical models and forthe tomographic inversion of global seismic data. Its mul…

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