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We discuss some new invariants of quark mixing and show their usefulness with a simple example. We also present some other new tools for analyzing quark mixing.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Kusenko

We extend the capabilities of neural networks by coupling them to external memory resources, which they can interact with by attentional processes. The combined system is analogous to a Turing Machine or Von Neumann architecture but is…

Neural and Evolutionary Computing · Computer Science 2014-12-11 Alex Graves , Greg Wayne , Ivo Danihelka

A variation on the splitting principle

Algebraic Geometry · Mathematics 2016-09-06 Rahbar Virk

A model of quintessential inflation is presented, which manages to achieve the requirements of both inflation and quintessence with natural values of the mass-scales and parameters.

Astrophysics · Physics 2008-11-26 K. Dimopoulos

We define recurrence matrices and study a few properties (links with automatic sequences, branch groups etc.) of them.

Rings and Algebras · Mathematics 2007-05-23 Roland Bacher

I review the construction of Simplified Models for Dark Matter searches. After discussing the philosophy and some simple examples, I turn the attention to the aspect of the theoretical consistency and to the implications of the necessary…

High Energy Physics - Phenomenology · Physics 2022-11-14 Enrico Morgante

We provide an example of Cherry flow (i.e. smooth flow on the $2$-dimensional torus with a sink and a saddle) having quasi-minimal set which is an attractor. The first return map for such a flow, constructed also in the paper, is a smooth…

Dynamical Systems · Mathematics 2018-05-14 Liviana Palmisano

It has been shown that the string-flip potential model reproduces most of the bulk properties of nuclear matter, with the exception of nuclear binding. Furthermore, it was postulated that this model with the inclusion of the…

Nuclear Theory · Physics 2008-02-03 M. Boyce , J. Treurniet , P. J. S. Watson

We introduce a 2-dimensional lattice model of granular matter. We use a combination of proof and simulation to demonstrate an order/disorder phase transition in the model, to which we associate the granular phenomenon of random close…

Soft Condensed Matter · Physics 2015-05-14 D. Aristoff , C. Radin

This paper considers the egodicity properties in iterated function systems. First, we will introduce chain mixing and chain transitive iterated function systems then some results and examples are presented to compare with these notions in…

Dynamical Systems · Mathematics 2016-12-20 Mehdi Fatehi Nia

Flow through passive porous media is typically described in terms of a linear theory relating current fluxes and driving forces, in the presence of a prescribed heterogeneous permeability. However, many porous systems such as glacial…

Statistical Mechanics · Physics 2015-04-08 Samuel A. Ocko , L. Mahadevan

We show that Pinney's equation [2] with a constant coefficient can be reduced to its linear part by a simple change of variables. Also, Pinney's original solution is simplified slightly.

Analysis of PDEs · Mathematics 2019-02-08 Philip Korman

The interpretation of data in terms of multi-parameter models of new physics, using the Bayesian approach, requires the construction of multi-parameter priors. We propose a construction that uses elements of Bayesian reference analysis. Our…

Data Analysis, Statistics and Probability · Physics 2011-08-03 Maurizio Pierini , Harrison B. Prosper , Sezen Sekmen , Maria Spiropulu

A simple model is proposed for the direct correlation function (DCF) for simple fluids consisting of a hard-core contribution, a simple parametrized core correction, and a mean-field tail. The model requires as input only the free energy of…

Statistical Mechanics · Physics 2007-10-08 James F. Lutsko

I present a simple, elementary proof of Morley's theorem, highlighting the naturalness of this theorem.

History and Overview · Mathematics 2020-03-31 Stéphane Peigné

Given an arbitrary long but finite sequence of observations from a finite set, we construct a simple process that approximates the sequence, in the sense that with high probability the empirical frequency, as well as the empirical one-step…

Statistics Theory · Mathematics 2007-06-13 Dinah Rosenberg , Eilon Solan , Nicolas Vieille

Aim of this paper is to find out a simple model, which provides more insight into the relation between the tunneling current and the chemical force arising during formation of atomic contact in between a SPM probe and surface atom.

Materials Science · Physics 2011-09-16 Pavel Jelinek , Fernando Flores

We overview dataflow matrix machines as a Turing complete generalization of recurrent neural networks and as a programming platform. We describe vector space of finite prefix trees with numerical leaves which allows us to combine expressive…

Neural and Evolutionary Computing · Computer Science 2017-06-05 Michael Bukatin , Jon Anthony

A fundamental feature of human intelligence is that we accumulate and transfer knowledge as a society and across generations. We describe here a network architecture for the human brain that may support this feature and suggest that two key…

Neurons and Cognition · Quantitative Biology 2022-07-19 Eric C. Wong

We prove some new results related to Tanaka's formula.

Probability · Mathematics 2017-09-19 Gianluca Cassese
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