Research articles

The rightness of the Riemann Hypothesis

August 8, 2016

Mathematics

General Mathematics

The properties of several functions are employed to investigate the zeros of the Riemann zeta function

\zeta(a+bi)

(0<a<1, b\neq 0)

. If the zeros of the zeta function have not the form

\frac{1}{2}+ib

where

i=\sqrt{-1}

, we derive a c...

Towards Grand Unification

August 8, 2016

Physics

General Physics

Sidharth had shown that gravitation can be reconciled with electromagnetic and other forces if we start from a Landau-Ginzburg phase transition. This is further remarked upon and a unification of all forces of nature is proposed....

Physics on the adiabatically changed Finslerian manifold and cosmology

August 5, 2016

Physics

General Physics

In present paper we confirm our previous result [5] that the Planck constant is adiabatic invariant of electromagnetic field propagating on the adiabatically changed Finslerian manifold. Direct calculation from cosmological parameters gives...

Superconducting instability in non-Fermi liquids

August 3, 2016

Physics

High Energy Physics - Theory

Superconductivity

Strongly Correlated Electrons

We use renormalization group (RG) analysis and dimensional regularization techniques to study potential superconductivity-inducing four-fermion interactions in systems with critical Fermi surfaces of general dimensions (

m

) and co-dimensio...

A study on partial dynamic equation on time scales involving derivatives of polynomials

August 2, 2016

Mathematics

Classical Analysis and ODEs

Analysis of PDEs

Let

P(m,b,x)

be a

2m+1

-degree polynomial in

x,b

. Let be a two-dimensional timescale

\Lambda^2 = \mathbb{T}_1 \times \mathbb{T}_2 = \{t=(x, b) \colon \; x\in\mathbb{T}_1, \; b\in\mathbb{T}_2 \}

such that

\mathbb{T}_1 = \mathbb{T}_2

...

$m$ -Modular Wythoff

August 2, 2016

Mathematics

Combinatorics

We introduce a variant of Wythoff's Game that we call

m

-Modular Wythoff's Game. In the original Wythoff's Game, players can take a positive number of tokens from one pile, or they can take a positive number of tokens from both piles if th...

Double/Debiased Machine Learning for Treatment and Causal Parameters

July 29, 2016

| | | | | |

Statistics

Economics

Machine Learning

Econometrics

Most modern supervised statistical/machine learning (ML) methods are explicitly designed to solve prediction problems very well. Achieving this goal does not imply that these methods automatically deliver good estimators of causal parameter...

Amplitude determination for $M M \to M M$ , $M = \pi, K$ and cross-sections for $\gamma \gamma \to \pi^+ \pi^-, \pi^0 \pi^0, \pi^0 \eta$ in a chiral model

July 28, 2016

| |

Physics

High Energy Physics - Phenomenology

Dai and Pennington have performed a comprehensive analysis of essentially all pion and kaon pair production data from two-photon collisions below 1.5 GeV, including all high statistics results from Belle, as well as the older data from Mark...

Topological Crystals

July 26, 2016

Mathematics

Algebraic Topology

Combinatorics

Algebraic Topology

Combinatorics

Sunada's work on crystallography emphasizes the role of the "maximal abelian cover" of a graph

X

. This is a covering space of

X

for which the group of deck transformations is the first homology group

H_1(X,\mathbb{Z})

. An embedding of...

On some Lie groups containing spin group in Clifford algebra

July 25, 2016

Physics

Mathematics

Mathematical Physics

In this paper we consider some Lie groups in complexified Clifford algebras. Using relations between operations of conjugation in Clifford algebras and matrix operations we prove isomorphisms between these groups and classical matrix groups...

The rightness of the Riemann Hypothesis

August 8, 2016

Mathematics

General Mathematics

The properties of several functions are employed to investigate the zeros of the Riemann zeta function

\zeta(a+bi)

(0<a<1, b\neq 0)

. If the zeros of the zeta function have not the form

\frac{1}{2}+ib

where

i=\sqrt{-1}

, we derive a c...

Towards Grand Unification

August 8, 2016

Physics

General Physics

Physics on the adiabatically changed Finslerian manifold and cosmology

August 5, 2016

Physics

General Physics

Superconducting instability in non-Fermi liquids

August 3, 2016

Physics

High Energy Physics - Theory

Superconductivity

Strongly Correlated Electrons

m

) and co-dimensio...

A study on partial dynamic equation on time scales involving derivatives of polynomials

August 2, 2016

Mathematics

Classical Analysis and ODEs

Analysis of PDEs

Let

P(m,b,x)

be a

2m+1

-degree polynomial in

x,b

. Let be a two-dimensional timescale

\Lambda^2 = \mathbb{T}_1 \times \mathbb{T}_2 = \{t=(x, b) \colon \; x\in\mathbb{T}_1, \; b\in\mathbb{T}_2 \}

such that

\mathbb{T}_1 = \mathbb{T}_2

...

$m$ -Modular Wythoff

August 2, 2016

Mathematics

Combinatorics

We introduce a variant of Wythoff's Game that we call

m

-Modular Wythoff's Game. In the original Wythoff's Game, players can take a positive number of tokens from one pile, or they can take a positive number of tokens from both piles if th...

Double/Debiased Machine Learning for Treatment and Causal Parameters

July 29, 2016

| | | | | |

Statistics

Economics

Machine Learning

Econometrics

Amplitude determination for $M M \to M M$ , $M = \pi, K$ and cross-sections for $\gamma \gamma \to \pi^+ \pi^-, \pi^0 \pi^0, \pi^0 \eta$ in a chiral model

July 28, 2016

| |

Physics

High Energy Physics - Phenomenology

Topological Crystals

July 26, 2016

Mathematics

Algebraic Topology

Combinatorics

Algebraic Topology

Combinatorics

Sunada's work on crystallography emphasizes the role of the "maximal abelian cover" of a graph

X

. This is a covering space of

X

for which the group of deck transformations is the first homology group

H_1(X,\mathbb{Z})

. An embedding of...

On some Lie groups containing spin group in Clifford algebra

July 25, 2016

Physics

Mathematics

Mathematical Physics

The rightness of the Riemann Hypothesis

Towards Grand Unification

Physics on the adiabatically changed Finslerian manifold and cosmology

Superconducting instability in non-Fermi liquids

A study on partial dynamic equation on time scales involving derivatives of polynomials

mmm-Modular Wythoff

Double/Debiased Machine Learning for Treatment and Causal Parameters

Amplitude determination for MM→MMM M \to M MMM→MM, M=π,KM = \pi, KM=π,K and cross-sections for γγ→π+π−,π0π0,π0η\gamma \gamma \to \pi^+ \pi^-, \pi^0 \pi^0, \pi^0 \etaγγ→π+π−,π0π0,π0η in a chiral model

Topological Crystals

On some Lie groups containing spin group in Clifford algebra

The rightness of the Riemann Hypothesis

Towards Grand Unification

Physics on the adiabatically changed Finslerian manifold and cosmology

Superconducting instability in non-Fermi liquids

A study on partial dynamic equation on time scales involving derivatives of polynomials

mmm-Modular Wythoff

Double/Debiased Machine Learning for Treatment and Causal Parameters

Amplitude determination for MM→MMM M \to M MMM→MM, M=π,KM = \pi, KM=π,K and cross-sections for γγ→π+π−,π0π0,π0η\gamma \gamma \to \pi^+ \pi^-, \pi^0 \pi^0, \pi^0 \etaγγ→π+π−,π0π0,π0η in a chiral model

Topological Crystals

On some Lie groups containing spin group in Clifford algebra

$m$ -Modular Wythoff

Amplitude determination for $M M \to M M$ , $M = \pi, K$ and cross-sections for $\gamma \gamma \to \pi^+ \pi^-, \pi^0 \pi^0, \pi^0 \eta$ in a chiral model

$m$ -Modular Wythoff

Amplitude determination for $M M \to M M$ , $M = \pi, K$ and cross-sections for $\gamma \gamma \to \pi^+ \pi^-, \pi^0 \pi^0, \pi^0 \eta$ in a chiral model