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

Edwin C Ihrig
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.  ... 
doi:10.1016/0095-8956(86)90072-9 fatcat:mccnmriqlbdwtfaz6xmfn4pyiq

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

Edwin C Ihrig
1989 Journal of combinatorial theory. Series B (Print)  
We give a characterization 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,,.  ... 
doi:10.1016/0095-8956(89)90031-2 fatcat:c2cbrbhasffrxgcgikr24q7h2u

Path integral bosonization of the ?t Hooft determinant: quasi-classical corrections

A. A. Osipov, B. Hiller
2004 European Physical Journal C: Particles and Fields  
For some set 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.  ... 
doi:10.1140/epjc/s2004-01779-3 fatcat:sx3ohyndrnbbfa54e44tj7t2ee

Growth of mutual information in a quenched one-dimensional open quantum many body system [article]

Somnath Maity, Souvik Bandyopadhyay, Sourav Bhattacharjee, Amit Dutta
2020 arXiv   pre-print
We study 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  ... 
arXiv:2001.09802v3 fatcat:nkybnlvhhnhpzelhxghdgmxabq

Chirality and domain growth in the gyroid mesophase

Jonathan Chin, Peter V. Coveney
2006 Proceedings of the Royal Society A  
We use measurements 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.  ... 
doi:10.1098/rspa.2006.1741 fatcat:bczpm5gfznbizmr452ytjvxxta

Postselection Technique for Quantum Channels with Applications to Quantum Cryptography

Matthias Christandl, Robert König, Renato Renner
2009 Physical Review Letters  
A similar statement holds for more general channels which are covariant with respect 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.  ... 
doi:10.1103/physrevlett.102.020504 pmid:19257257 fatcat:uyzkq5b5q5a6lcnanh3cxob5ma

Predicting crystal structures of organic compounds

Sarah L. Price
2014 Chemical Society Reviews  
Organic Crystal Structure Prediction methods generate 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, and the EPSRC for funding some of them  ... 
doi:10.1039/c3cs60279f pmid:24263977 fatcat:cf7up3rn5vekbitfb2xgbls6pi

Holographic software for quantum networks

Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski
2018 Science China Mathematics  
We use our software 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.  ... 
doi:10.1007/s11425-017-9207-3 fatcat:3owkjg2ujrdtzixqjykfuszbtm

A geometric perspective on the scaling limits of critical Ising and φ^4_d models [article]

Michael Aizenman
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  ... 
arXiv:2112.04248v1 fatcat:7q566eq45japjbqjufjo7zaqpq

Optimal full estimation of qubit mixed states

E. Bagan, M. A. Ballester, R. D. Gill, A. Monras, R. Muñoz-Tapia
2006 Physical Review A. Atomic, Molecular, and Optical Physics  
We discuss 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  ... 
doi:10.1103/physreva.73.032301 fatcat:3rrir7752vbflpqlcmt7jo7ctq

Collusive Agreements in Vertically Differentiated Markets

Marco A. Marini
2016 Social Science Research Network  
Then, an increase in 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.  ... 
doi:10.2139/ssrn.2987781 fatcat:bexao7dtxja7thq5lpokcvdoqq

Strong Reductions for Extended Formulations [chapter]

Gábor Braun, Sebastian Pokutta, Aurko Roy
2016 Lecture Notes in Computer Science  
We generalize 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.  ... 
doi:10.1007/978-3-319-33461-5_29 fatcat:ollsgkd3dvbdffq6dzaba7b5t4

Hida families and p-adic triple product L-functions [article]

Ming-Lun Hsieh
2021 arXiv   pre-print
We 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.  ... 
arXiv:1705.02717v5 fatcat:6zuh35663bcpfg65nuulljs4vy

Error bounds for EEG and MEG dipole source localization

John C. Mosher, Michael E. Spencer, Richard M. Leahy, Paul S. Lewis
1993 Electroencephalography and Clinical Neurophysiology  
All 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.  ... 
doi:10.1016/0013-4694(93)90043-u pmid:7685264 fatcat:2qb35o766jbstdw2bybrm6vi3q

Quasiparticle self-consistentGWmethod: A basis for the independent-particle approximation

Takao Kotani, Mark van Schilfgaarde, Sergey V. Faleev
2007 Physical Review B  
We present some theoretical discussion concerning 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).  ... 
doi:10.1103/physrevb.76.165106 fatcat:piciuizca5bkdklcw7wijubrwm
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