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http://hdl.handle.net/2433/24849
Sun, 22 Oct 2017 15:41:34 GMT2017-10-22T15:41:34ZParametric bisubmodular function minimization and its associated signed ring family
http://hdl.handle.net/2433/227161
タイトル: Parametric bisubmodular function minimization and its associated signed ring family
著者: Fujishige, Satoru
抄録: The present paper shows an extension of the theory of principal partitions for submodular functions to that for bisubmodular functions. We examine the structure of the collection of all solutions of a parametric minimization problem described by a bisubmodular function and two vectors. The bisubmodular function to be minimized for each parameter is the sum of the bisubmodular function and a parameterized box-bisubmodular function given in terms of the two vectors. We show that the collection of all the minimizers for all parameters forms a signed ring family and it thus induces a signed poset on a signed partition of the underlying set. We further examine the structure of the signed ring family and reveal the decomposition structure depending on critical values of the parameter. Moreover, we discuss the relation between the results of this paper on bisubmodular functions and the theory of principal partitions developed for submodular functions.Sun, 20 Aug 2017 00:00:00 GMThttp://hdl.handle.net/2433/2271612017-08-20T00:00:00ZWronskians, dualities and FZZT-Cardy branes
http://hdl.handle.net/2433/227079
タイトル: Wronskians, dualities and FZZT-Cardy branes
著者: Chan, Chuan-Tsung; Irie, Hirotaka; Niedner, Benjamin; Yeh, Chi-Hsien
抄録: The resolvent operator plays a central role in matrix models. For instance, with utilizing the loop equation, all of the perturbative amplitudes including correlators, the free-energy and those of instanton corrections can be obtained from the spectral curve of the resolvent operator. However, at the level of non-perturbative completion, the resolvent operator is generally not sufficient to recover all the information from the loop equations. Therefore it is necessary to find a sufficient set of operators which provide the missing non-perturbative information. In this paper, we study generalized Wronskians of the Baker–Akhiezer systems as a manifestation of these new degrees of freedom. In particular, we derive their isomonodromy systems and then extend several spectral dualities to these systems. In addition, we discuss how these Wronskian operators are naturally aligned on the Kac table. Since they are consistent with the Seiberg–Shih relation, we propose that these new degrees of freedom can be identified as FZZT-Cardy branes in Liouville theory. This means that FZZT-Cardy branes are the bound states of elemental FZZT branes (i.e. the twisted fermions) rather than the bound states of principal FZZT-brane (i.e. the resolvent operator).Thu, 01 Sep 2016 00:00:00 GMThttp://hdl.handle.net/2433/2270792016-09-01T00:00:00Z$L^2$-stability of solitary waves for the KdV equation via Pego and Weinstein's method (Harmonic Analysis and Nonlinear Partial Differential Equations)
http://hdl.handle.net/2433/226237
タイトル: $L^2$-stability of solitary waves for the KdV equation via Pego and Weinstein's method (Harmonic Analysis and Nonlinear Partial Differential Equations)
著者: MIZUMACHI, Tetsu; TZVETKOV, Nikolay
記述: "Harmonic Analysis and Nonlinear Partial Differential Equations". July 8～10, 2013. edited by Mitsuru Sugimoto and Hideo Kubo. The papers presented in this volume of RIMS Kokyuroku Bessatsu are in final form and refereed.Sun, 01 Jun 2014 00:00:00 GMThttp://hdl.handle.net/2433/2262372014-06-01T00:00:00ZMultilinear fractional integral operators on weighted Morrey spaces (Harmonic Analysis and Nonlinear Partial Differential Equations)
http://hdl.handle.net/2433/226238
タイトル: Multilinear fractional integral operators on weighted Morrey spaces (Harmonic Analysis and Nonlinear Partial Differential Equations)
著者: IIDA, TAKESHI
記述: "Harmonic Analysis and Nonlinear Partial Differential Equations". July 8～10, 2013. edited by Mitsuru Sugimoto and Hideo Kubo. The papers presented in this volume of RIMS Kokyuroku Bessatsu are in final form and refereed.Sun, 01 Jun 2014 00:00:00 GMThttp://hdl.handle.net/2433/2262382014-06-01T00:00:00Z