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Symmetry groups related to the construction of perfect one factorizations of K2n

1986
*
Journal of combinatorial theory. Series B (Print)
*

*The*only

*perfect*

*one*

*factorizations*with doubly transitive

*symmetry*

*groups*are

*the*known

*perfect*

*one*

*factorizations*

*on*K, + ,

*The*

*symmetry*

*group*

*of*a

*perfect*

*one*

*factorization*generated by

*the*even starter ...

*The*order

*of*

*the*

*symmetry*

*group*

*of*a

*perfect*

*one*

*factorization*

*of*K2" generated by

*the*starter

*construction*must be odd and divide (2n -l)(n -1) if n is not prime and

*the*

*perfect*

*one*

*factorization*is not ...

*The*idea behind

*the*use

*of*

*symmetry*

*to*

*construct*new

*perfect*

*one*

*factorizations*

*of*K2,, is as follows. ...

##
###
The structure of the symmetry groups of perfect 1-factorizations of K2n

1989
*
Journal of combinatorial theory. Series B (Print)
*

We give a characterization

doi:10.1016/0095-8956(89)90031-2
fatcat:c2cbrbhasffrxgcgikr24q7h2u
*of**the*structure*of**the**symmetry**groups**of**perfect*1-*factorizations**of**the*complete graph*on*2n vertices. ... Moreover if*the*order*of**the**symmetry**group*is (2n -l)(n -1) or greater, then it must act 2-homogeneously*on**the*l-*factors*, and it must have (Z,)m as*the*nilpotent*group*mentioned above where p is prime ... K,, is*the*complete graph*on*2n vertices, and we use PlF*to*indicate a*perfect*l-*factorization**of*K,,. ...##
###
Path integral bosonization of the ?t Hooft determinant: quasi-classical corrections

2004
*
European Physical Journal C: Particles and Fields
*

For some set

doi:10.1140/epjc/s2004-01779-3
fatcat:sx3ohyndrnbbfa54e44tj7t2ee
*of*parameters*the*effective potential has several extrema, that in*the*case*of*SU(2)_I\times U(1)_Y flavor*symmetry*can be understood*on*topological grounds. ... Using*the*gap equation we*construct**the*effective potential, from which*the*structure*of**the*vacuum can be settled. ... Scoccola during*the*II International Workshop*on*Hadron Physics, Coimbra, Portugal, where part*of**the*material*of*this work has been presented. ...##
###
Growth of mutual information in a quenched one-dimensional open quantum many body system
[article]

2020
*
arXiv
*
pre-print

We study

arXiv:2001.09802v3
fatcat:nkybnlvhhnhpzelhxghdgmxabq
*the*temporal evolution*of**the*mutual information (MI) in a*one*-dimensional Kitaev chain, coupled*to*a fermionic Markovian bath, subsequent*to*a global quench*of**the*chemical potential. ...*On**the*contrary, we establish that in*the*dissipative case*the*MI is exponentially damped both during*the*initial ballistic growth as well as in*the*approach*to**the*steady state. ... (S14),*one*can write*the*two point correlations (TPCs) in real space in terms*of*TPCs in*the*momentum space as c † m c n = 1 L k1,k2>0 e i(k1m−*k2n*) c † k1 c k2 + e i(k1m+*k2n*) c † k1 c −k2 + e −i(k1m+*k2n*...##
###
Chirality and domain growth in the gyroid mesophase

2006
*
Proceedings of the Royal Society A
*

We use measurements

doi:10.1098/rspa.2006.1741
fatcat:bczpm5gfznbizmr452ytjvxxta
*of**the*averaged mean curvature*to*analyse*the*behaviour*of*domain walls, and suggest that diffusive domain growth may be present in this system. ... We describe*the*first dynamical simulations*of*domain growth during*the*self-assembly*of**the*gyroid mesophase from a ternary amphiphilic mixture, using*the*lattice Boltzmann method. ...*The*gyroid has space*group**symmetry*Ia 3d;*the*unit cell consists*of*96 copies*of*a fundamental surface patch,*related*through*the**symmetry*operations (Gandy & Klinowski 2000)*of*this space*group*. ...##
###
Postselection Technique for Quantum Channels with Applications to Quantum Cryptography

2009
*
Physical Review Letters
*

A similar statement holds for more general channels which are covariant with respect

doi:10.1103/physrevlett.102.020504
pmid:19257257
fatcat:uyzkq5b5q5a6lcnanh3cxob5ma
*to**the*action*of*an arbitrary finite or locally compact*group*. ... Our technique can be applied*to**the*analysis*of*information-theoretic problems. ... Seen in*the*light*of*more general*symmetry**groups*G, we thus hope that our results will find fundamental applications in quantum physics beyond their presented use in quantum information theory. R. ...##
###
Predicting crystal structures of organic compounds

2014
*
Chemical Society Reviews
*

Organic Crystal Structure Prediction methods generate

doi:10.1039/c3cs60279f
pmid:24263977
fatcat:cf7up3rn5vekbitfb2xgbls6pi
*the*thermodynamically plausible crystal structures*of*a molecule. ... This paper is dedicated*to**the*memory*of*Herman Ammon (1936-2013),*one**of**the*pioneers*of*CSP, whose generous help with*the*program MOLPAK enabled me*to*start working in this field. ... Acknowledgements*The*many people from different disciplines who worked*on**the*CPOSS (Control and Prediction*of**the*Organic Solid State) project www.cposs.org.uk, and*the*EPSRC for funding some*of*them ...##
###
Holographic software for quantum networks

2018
*
Science China Mathematics
*

We use our software

doi:10.1007/s11425-017-9207-3
fatcat:3owkjg2ujrdtzixqjykfuszbtm
*to*discover interesting new protocols for multipartite communication. In summary, we build a bridge linking*the*theory*of*planar para algebras with quantum information. ... We obtain a pictorial interpretation*of*Fourier transformation,*of*measurements, and*of*local transformations, including*the*n-qudit Pauli matrices and their representation by Jordan-Wigner transformations ...*One*needs*to*make up*the*opposite charge*on**the*strings*on**the*left, so that*the*function*of**the*picture does not change. ...##
###
A geometric perspective on the scaling limits of critical Ising and φ^4_d models
[article]

2021
*
arXiv
*
pre-print

*The*lecture delivered at

*the*Current Developments in Mathematics conference (Harvard-MIT 2020) focused

*on*

*the*recent proof

*of*

*the*Gaussian structure

*of*

*the*scaling limits

*of*

*the*critical Ising and φ^4 ...

*To*cover

*the*marginal case

*of*4D

*the*tree diagram bound which has sufficed for higher dimensions needed

*to*be supplemented by a singular correction. ... Progress

*on*this question may be closely

*related*

*to*

*the*goal

*of*non- perturbative bounds

*on*

*the*beta function which in

*the*renormalization

*group*

*ON*

*THE*SCALING LIMITS

*OF*CRITICAL ISING AND ϕ4 ...

##
###
Optimal full estimation of qubit mixed states

2006
*
Physical Review A. Atomic, Molecular, and Optical Physics
*

We discuss

doi:10.1103/physreva.73.032301
fatcat:3rrir7752vbflpqlcmt7jo7ctq
*the*case*of*states in*the*whole Bloch sphere as well as*the*restricted situation where these states are known*to*lie*on**the*equatorial plane. ...*The*interrelation between*the*estimation*of**the*purity and*the*direction*of**the*state is also discussed. ... Notice that N is invariant under*the*permutation*of*any pair*of*qubits, i.e, invariant under*the*action*of**the*symmetric*group*S N , which is precisely*the**group*relevant for*the**construction**of**the*invariant ...##
###
Collusive Agreements in Vertically Differentiated Markets

2016
*
Social Science Research Network
*

Then, an increase in

doi:10.2139/ssrn.2987781
fatcat:bexao7dtxja7thq5lpokcvdoqq
*the*number*of*…rms n reduces*the*discount*factor*sustaining*the*fully cooperative agreement as a subgame*perfect*Nash equilibrium*of**the*in…nitely repeated game via a grim strategy ...*The**symmetry*in quality gaps helps*to*maintain*the*discipline*of*thewhole market cartel just because it reduces*the*incentive*of*…rms*to*free-ride by leaving*the*agreement. ... Using both*the*optimal reply*of*…rm k + 1 and those*of**the*…rms connected*to*it (i.e. ...##
###
Strong Reductions for Extended Formulations
[chapter]

2016
*
Lecture Notes in Computer Science
*

We generalize

doi:10.1007/978-3-319-33461-5_29
fatcat:ollsgkd3dvbdffq6dzaba7b5t4
*the*reduction mechanism between linear programming problems from [10] in two ways (1) relaxing*the*requirement*of*affineness, and (2) extending*to*fractional optimization problems. ... ., for*the*SparsestCut problem,*the*BalancedSeparator problem,*the*MaxCut problem and*the*Matching problem*on*3-regular graphs. ... a stimulating research environment, as well as Levent Tunçel for helpful discussions*on*Lasserre relaxations*of**the*IndependentSet problem. ...##
###
Hida families and p-adic triple product L-functions
[article]

2021
*
arXiv
*
pre-print

We

arXiv:1705.02717v5
fatcat:6zuh35663bcpfg65nuulljs4vy
*construct**the*three-variable p-adic triple product L-functions attached*to*Hida families*of*ellptic newforms and prove*the*explicit interpolation formulae at all critical specializations by establishing ... By this*factorization*, we give a new*construction**of**the*anticyclotomic p-adic L-functions for elliptic curves in*the*definite case via*the*diagonal cycle Euler system \'a la Darmon and Rotger and obtain ...*The*modified Euler*factors*at p and ∞. Let G Qp be*the*decomposition*group*at p. ...##
###
Error bounds for EEG and MEG dipole source localization

1993
*
Electroencephalography and Clinical Neurophysiology
*

All

doi:10.1016/0013-4694(93)90043-u
pmid:7685264
fatcat:2qb35o766jbstdw2bybrm6vi3q
*of**the*simulation results presented can easily be scaled*to*other instances*of*noise power and dipole intensity. ... A Monte Carlo simulation was performed*to*check*the*tightness*of**the*bounds for a selected case. ... In this case,*the*scalar Q*factors*out and can be*grouped*with*the*variance*of**the*noise. ...##
###
Quasiparticle self-consistentGWmethod: A basis for the independent-particle approximation

2007
*
Physical Review B
*

We present some theoretical discussion concerning

doi:10.1103/physrevb.76.165106
fatcat:piciuizca5bkdklcw7wijubrwm
*the*formulation*of*QSGW, including a prescriptino for calculating*the*total energy. ... We have developed a new type*of*self-consistent scheme within*the*GW approximation, which we call quasiparticle self-consistent GW (QSGW). ... states:*the*QP part (suppressed by*the**factor*Z) and*the*incoherent part (e.g. plasmon-*related*satellites). ...
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