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Page 12 of Mathematical Reviews Vol. , Issue 92c [page]

1992 Mathematical Reviews  
Wolfe (Rio Grande, OH) 92c:11148 11T30 12E20 Lempel, Abraham (IL-TECH); Seroussi, Gadiel (1-HPL) Explicit formulas for self-complementary normal bases in certain finite fields. IEEE Trans. Inform.  ...  The authors give explicit formulas for self-complementary normal bases (of p elements) for GF(q’), where p = char(GF(q)). They  ... 

Page 6270 of Mathematical Reviews Vol. , Issue 96j [page]

1996 Mathematical Reviews  
Recurrence formulae furnish explicit expressions for the higher order moment tensors.  ...  The imposed macroscopic orthotropy enables us to derive explicit and self-consistent expressions for the second moment tensors.  ... 

Langlands' Conjecture on Plancherel Measures for p-Adic Groups [chapter]

Freydoon Shahidi
1991 Harmonic Analysis on Reductive Groups  
A formula in terms of certain Rankin-Selberg L-functions for GL(n) [13] for these measures has been in print [32] since 1984.  ...  The paper concludes with explicit formulas for the Plancherel measures for GL(n) and SL(n), p resented in Proposition 7.1 and Corollary 7.2, respectively.  ... 
doi:10.1007/978-1-4612-0455-8_14 fatcat:v3436cq3hfbzxjhc6vpp3pjqbm

Nonperturbative gravity corrections to bulk reconstruction [article]

Elliott Gesteau, Monica Jinwoo Kang
2021 arXiv   pre-print
We introduce a new algebraic framework for understanding nonperturbative gravitational aspects of bulk reconstruction with a finite or infinite-dimensional boundary Hilbert space.  ...  We explicitly demonstrate that local operators in the reconstruction wedge of a given boundary region can be recovered in a state-independent way for arbitrarily large code subspaces, up to nonperturbative  ...  E.G. would like to thank Matilde Marcolli for her guidance and constant support.  ... 
arXiv:2112.12789v1 fatcat:yykv6b3q3jf3lfyhr5bihiqr3m

Differential invariant algebras of Lie pseudo-groups

Peter J. Olver, Juha Pohjanpelto
2009 Advances in Mathematics  
, a complete system of recurrence relations for the differentiated invariants, and a finite system of generating differential syzygies among the generating differential invariants.  ...  Under the assumption of local freeness of a suitably high order prolongation of the pseudo-group action, we develop computational algorithms for locating a finite generating set of differential invariants  ...  We also thank the referee for helpful comments.  ... 
doi:10.1016/j.aim.2009.06.016 fatcat:f34fzk2bk5gv7n4ubbba5xpjeu

PerturbativeS-matrix for massive scalar fields in global de Sitter space

Donald Marolf, Ian A Morrison, Mark Srednicki
2013 Classical and quantum gravity  
In particular, even very light fields (in the complementary series of de Sitter representations) are not protected from tree-level decays.  ...  We construct a perturbative S-matrix for interacting massive scalar fields in global de Sitter space.  ...  He also thanks the University of Colorado, Boulder, for its hospitality during the final stages of this work. MS was supported in part by the National Science Foundation under Grant No PHY07-57035.  ... 
doi:10.1088/0264-9381/30/15/155023 fatcat:qxpc5xu3jzcxxnrupt6apwu27q

Gluino zero-modes for calorons at finite temperature

Margarita García Pérez, Antonio González-Arroyo, Alfonso Sastre
2008 Physics Letters B  
We study the solutions of the Dirac equation in the adjoint representation(gluinos) in the background field of SU(2) unit charge calorons.  ...  Our solutions are forced to be antiperiodic in thermal time and would occur naturally in a semiclassical approach to N=1 Super-symmetric Yang-Mills theory at finite temperature.  ...  Acknowledgements We would like to thank Falk Bruckmann for discussions at the initial stages of this work. We acknowledge financial support from  ... 
doi:10.1016/j.physletb.2008.08.071 fatcat:463xr63sifanfavnheom6535wi

Full counting statistics of Kondo-type tunneling in a quantum dot: Fluctuation effects of the slave-boson field

Bing Dong, G. H. Ding, X. L. Lei
2011 Physical Review B  
B 73, 195301 (2006)], we obtain the counting field λ-dependent self-consistent equations for the mean values of the slave-boson fields and the explicit expression for the derivative of the adiabatic potential  ...  We study the full counting statistics (FCS) of electron tunneling through a multi-terminal quantum dot in the Kondo regime within the slave-boson mean field theory. By employing the A.O.  ...  of the leads), as done in the Meir-Wingreen current formula, 41 except for the presence of the counting field.  ... 
doi:10.1103/physrevb.84.235408 fatcat:ptaqgqyfeffifb6ohmgyof7hbm

Direct Perturbation Theory on the Electron Spin Resonance Shift and Its Applications

Yoshitaka Maeda, Masaki Oshikawa
2005 Journal of the Physical Society of Japan  
It is applied to one-dimensional XXZ and transverse Ising models in the high field limit, to obtain explicit results including the polarization dependence for arbitrary temperature.  ...  We formulate a direct and systematic perturbation theory on the shift of the main paramagnetic peak in Electron Spin Resonance, and derive a general expression up to second order.  ...  For S = 1/2 chain at low temperature, a field theory approach based on bosonization technique is developed [2, 3] .  ... 
doi:10.1143/jpsj.74.283 fatcat:coa4oses2zgtflbvecrnasswzy

Stiffness of ODEs

Desmond J. Higham, Lloyd N. Trefethen
1993 BIT Numerical Mathematics  
It is argued that even for a linear system of ODEs with constant coefficients, stiffness cannot properly be characterized in terms of the eigenvalues of the Jacobian, because stiffness is a transient phenomenon  ...  Recent theory from the numerical solution of PDEs is adapted to show that a more appropriate characterization can be based upon pseudospectra instead of spectra.  ...  In particular, we thank Hans Kraaijevanger for offering detailed comments on this manuscript.  ... 
doi:10.1007/bf01989751 fatcat:4uyn2wveyre3fmlyitwud3hpfu

Finite Information Numbers through the Inductive Combinatorial Hierarchy [article]

Theophanes E. Raptis
2018 arXiv   pre-print
In the course, we provide a decomposition of binary entropies in a pair of fractal sequences as functional composites of binary digit-sum functions and we construct a unique formula and an abstract partition  ...  We also prove, based on a previously introduced tool of the inductive combinatorial hierarchies that the naturally inherited self-similarity of the resulting hierarchy of entropic sets contains equivalence  ...  Self similarity in the entropic hierarchy The hierarchical method of global maps is a "holistic" approach to certain computable properties and their asymptotic behavior for as long as it makes possible  ... 
arXiv:1805.06301v1 fatcat:g5uwrphmurbpbo6uvmqotxscca

The Black-Scholes pricing formula in the quantum context

W. Segal, I. E. Segal
1998 Proceedings of the National Academy of Sciences of the United States of America  
A natural explanation for extreme irregularities in the evolution of prices in financial markets is provided by quantum effects.  ...  This provides a basis for a corresponding generalization of the Ito theory of stochastic integration. An extension of the Black-Scholes option pricing formula to the quantum context is deduced.  ...  The Feynman-Kac formula in the noncommutative form based on ref. 19 is then applicable by the same argument as in the classical case (20) .  ... 
doi:10.1073/pnas.95.7.4072 pmid:9520495 pmcid:PMC19965 fatcat:tsurbujox5abfpo5plyivpo26e

Resolutions of discriminants and topology of their complements [chapter]

Victor Vassiliev
2001 New Developments in Singularity Theory  
We describe the main construction of such classes (based on the conical resolutions of discriminants) and list the results for a number of examples.  ...  We study topological invariants of spaces of nonsingular geometrical objects (such as knots, operators, functions, varieties) defined by the linking numbers with appropriate cycles in the complementary  ...  Explicit formulas.  ... 
doi:10.1007/978-94-010-0834-1_4 fatcat:pi5cthiopjd37ish6gttf74goa

Abstracts of papers

1938 Bulletin of the American Mathematical Society  
In the revised list thus obtained, the three special elements Z, Z', Z* appear only by inference, no explicit mention of them in the postulates being required. (Received June 25, 1938.) N. H.  ...  , after Lewis, in terms of the base K t T, X, ', =, the definition a~3b: -:ab'^Z may be replaced by the simpler form a~3 b : =» :ab=a provided the theorem a~3b. = .b f~3 a' is added to the list of postulates  ...  An explicit formula in terms of 0-functions and abelian integrals is given for the Green's function of a general Riemann surface R, with any finite number of boundaries and of any finite genus.  ... 
doi:10.1090/s0002-9904-1938-06769-9 fatcat:zl6aehtdrvbnffsd3gn3jsahsy

Wavelets and Renormalization Group in Quantum Field Theory Problems

M. V. Altaisky
2018 Physics of Atomic Nuclei  
Using continuous wavelet transform it is possible to construct a regularization procedure for scale-dependent quantum field theory models, which is complementary to functional renormalization group method  ...  The standard RG results for ϕ^4 model are reproduced. The fixed points of the scale-dependent theory are studied in one loop approximation.  ...  However the theory based on the Fourier transform, such as quantum field theory is, have no explicit tools to regard the self-similarity in a fair way.  ... 
doi:10.1134/s1063778818060029 fatcat:p344tfjvgzhmpa27glsicrio5m
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