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Jan 07, 2019
Number Theory

Proof of proposition 2: We may assume that

Primes in Beatty sequence

In this paper, we prove an upper bound for the least prime square in an irrational non homogeneous Beatty sequence $\lbrace \lfloor \alpha n+\beta \r…
Mar 03, 2015
Number Theory

The second author would like to thank Chantal David and Dimitris Koukoulopoulos for some fruitful discussions and their suggestions regarding the presentation of this paper.

Poisson distribution of a prime counting function corresponding to …

Let $E$ be an elliptic curve defined over rational field $\mathbb{Q}$ and $N$ be a positive integer. Now, $M_E(N)$ denotes the number of primes $p$, …
Apr 13, 2016

Hubble imaging of V1331 Cygni: Proper motion study of its circumstell…

The young star V1331 Cyg received previous attention because it is surrounded by an optical, arc-like reflection nebula. V1331 Cyg is commonly consid…
Jan 06, 2009

Spatial entanglement using a quantum walk on a many-body system

The evolution of a many-particle system on a one-dimensional lattice, subjected to a quantum walk can cause spatial entanglement in the lattice posit…
Sep 21, 2016
Mathematical Physics
Number Theory

On the asymptotic prime partitions of integers

In this paper, we discuss P(n), the number of ways in which a given integer n may be written as a sum of primes. In particular, an asymptotic form P_…
Aug 20, 2013

Can the observed CP asymmetry in tau --> K pi nu_tau be due to Non-…

An intriguing opposite sign of the CP violating asymmetry was recently measured in the tau decay modes tau -> Ks pi nutau by the BaBar collaboration,…
Sep 02, 2013

Running Couplings in Quantum Theory of Gravity Coupled with Gauge Fie…

In this paper we study the coupled system of non-abelian gauge fields with higher-derivative gravity. Charge renormalization is investigated in this …
Dec 27, 2017
Computer Science and Game Theory
Distributed
Parallel
and Cluster Computing
Multiagent Systems

Thus what we have here is a building block for constructing equilibria in games based on epistemic states. We are interested primarily in the issue of detecting a deviation from an agreed strategy profile. This task is more specific than constructin…

Deviator Detection under Imperfect Monitoring

Grim-trigger strategies are a fundamental mechanism for sustaining equilibria in iterated games: the players cooperate along an agreed path, and as s…
Jan 31, 2017

Atmospheric Neutrinos and CP violation

The leptonic CP (Dirac) phase $\delta_{CP}$ is now the most crucial unknown parameter in neutrino oscillation physics. While there are hints for a pr…
Apr 18, 2016

On thermalization of two-level quantum systems

It has always been a difficult issue in Statistical Mechanics to provide a generic interaction Hamiltonian among the microscopic constituents of a ma…
Jul 04, 2016
Statistical Mechanics

Implications of Coupling in Quantum Thermodynamic Machines

We study coupled quantum systems as the working media of thermodynamic machines. Under a suitable phase-space transformation, the coupled systems can…
Feb 21, 2013

Entanglement in two site Bose-Hubbard model

In this paper, we study the decoherence and entanglement properties for the two site Bose-Hubbard model in the presence of a non-linear damping. We a…
Feb 29, 2016
Strongly Correlated Electrons
Materials Science
Superconductivity

A DMFT+CTQMC Investigation of Strange Metallicity in Local Quantum …

Strange metallicity is now a pseudonym for a novel metallic state exhibiting anomalous infra-red (branch-cut) continuum features in one and two parti…
May 20, 2019
Group Theory

Let p be an odd prime number. The approach of P. Hall to the classification of p-groups was based on the concept isoclinism, which was introduced by P. Hall himself. Since isoclinism is an equivalence relation on the class of all groups, one can con…

Simultaneous Conjugacy Classes as Combinatorial Invariants of Finite …

Let $G$ be a finite group. We consider the problem of counting simultaneous conjugacy classes of $n$-tuples and and simultaneous conjugacy classes of…
Jul 12, 2018

Threshold resummation in rapidity for colorless particle production a…

We present a formalism to resum large threshold logarithms to all orders in perturbative QCD for the rapidity distribution of any colorless particle …
Dec 11, 2017

Simulating Dirac Hamiltonian in Curved Space-time by Split-step Quant…

Dirac particle represents a fundamental constituent of our nature. Simulation of Dirac particle dynamics by a controllable quantum system will allow …
Apr 23, 2007
Physics and Society
Other Condensed Matter
Data Analysis
Statistics and Probability

How a "Hit" is Born: The Emergence of Popularity from the Dynamics of…

In recent times there has been a surge of interest in seeking out patterns in the aggregate behavior of socio-economic systems. One such domain is th…
May 03, 2018

Threshold resummation of the rapidity distribution for Drell-Yan pr…

We consider the production of pairs of lepton through the Drell-Yan process at the LHC and present the most accurate prediction on their rapidity dis…
Aug 16, 2011
Statistical Mechanics
Soft Condensed Matter

Phase transitions of a single polyelectrolyte in a poor solvent with …

Conformational properties of a single flexible polyelectrolyte chain in a poor solvent are studied using constant temperature molecular dynamics simu…
Aug 08, 2017

The motivation to compute two loop virtual corrections to decay of a pseudo-scalar to three gluons or quark, anti-quark, gluon is two fold. Firstly, with larger data set that are available at the LHC, constraining BSM scalar sector has become feasib…

Two loop QCD corrections for the process Pseudo-scalar Higgs $\righ…

We present virtual contributions up to two loop level in perturbative Quantum Chromodynamic (QCD) to the decay of pseudo-scalar Higgs boson ($A$) to …
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