Results 1 to 10 of about 43,935 (200)
Effects of dielectric gradients‐mediated ions partitioning on the electrophoresis of composite soft particles: An analytical theory [PDF]
ELECTROPHORESIS, 2020 AbstractIn this work, we report original analytical expressions defining the electrophoretic mobility of composite soft particles comprising an inner core and a surrounding polymer shell with differentiated permeabilities to ions from aqueous background electrolyte and to fluid flow developed under applied DC field conditions.
Paramita Mahapatra +2 more
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Kronecker coefficients: the tensor square conjecture and unimodality [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We consider two aspects of Kronecker coefficients in the directions of representation theory and combinatorics. We consider a conjecture of Jan Saxl stating that the tensor square of the $S_n$-irreducible representation indexed by the staircase partition
Igor Pak, Greta Panova, Ernesto Vallejo
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Quarter-BPS states, multi-symmetric functions and set partitions
Journal of High Energy Physics, 2021 We give a construction of general holomorphic quarter BPS operators in N $$ \mathcal{N} $$ = 4 SYM at weak coupling with U(N) gauge group at finite N. The construction employs the Möbius inversion formula for set partitions, applied to multi-symmetric ...
Christopher Lewis-Brown +1 more
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An analytic formula for numbers of restricted partitions from conformal field theory [PDF]
Advances in Theoretical and Mathematical Physics, 2018 We study the correlators of irregular vertex operators in two-dimensional conformal field theory (CFT) in order to propose an exact analytic formula for calculating numbers of partitions, that is: 1) for given $N,k$, finding the total number $ (N|k)$ of length $k$ partitions of $N$: $N=n_1+...+n_k ...
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A theory of spectral partitions of metric graphs [PDF]
, 2020 We introduce an abstract framework for the study of clustering in metric graphs: after suitably metrising the space of graph partitions, we restrict Laplacians to the clusters thus arising and use their spectral gaps to define several notions of ...
Kennedy, James B. +3 more
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A generalized formula of Hardy
International Journal of Mathematics and Mathematical Sciences, 1994 We give new formulae applicable to the theory of partitions. Recent work suggests they also relate to quasi-crystal structure and self-similarity. Other recent work has given continued fractions for the type of functions herein.
Geoffrey B. Campbell
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Dynamic programming for graphs on surfaces [PDF]
, 2010 We provide a framework for the design and analysis of dynamic programming algorithms for surface-embedded graphs on n vertices and branchwidth at most k.
B. Courcelle +15 more
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Asymptotic formulas for stacks and unimodal sequences [PDF]
, 2013 We study enumeration functions for unimodal sequences of positive integers, where the size of a sequence is the sum of its terms. We survey known results for a number of natural variants of unimodal sequences, including Auluck's generalized Ferrer ...
Bringmann, Kathrin, Mahlburg, Karl
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An Analytic Method for $S$-Expansion involving Resonance and Reduction [PDF]
, 2016 In this paper we describe an analytic method able to give the multiplication table(s) of the set(s) involved in an $S$-expansion process (with either resonance or $0_S$-resonant-reduction) for reaching a target Lie (super)algebra from a starting one ...
Ipinza, M. C. +3 more
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Combinatorial proof for a stability property of plethysm coefficients [PDF]
, 2014 Plethysm coefficients are important structural constants in the representation the- ory of the symmetric groups and general linear groups. Remarkably, some sequences of plethysm coefficients stabilize (they are ultimately constants).
Briand, Emmanuel +1 more
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