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Free Subarrangements of Shi Arrangements
Athanasiadis characterized the freeness of the cones of the arrangements between braid arrangements and Shi arrangements. We are interested in the...
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Patterns in Shi Tableaux and Dyck Paths
Shi tableaux are special binary fillings of certain Young diagrams which arise in the study of Shi hyperplane arrangements related to classical root...
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On the Falk Invariant of Shi and Linial Arrangements
It is an open question to give a combinatorial interpretation of the Falk invariant of a hyperplane arrangement, i.e., the third rank of successive...
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A Survey of the Shi Arrangement
In [58], Shi proved Lusztig’s conjecture that the number of two-sided cells for the affine Weyl group of type...
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Star-factorization of the Complete Bipartite Multigraphs
Let λK m,n be a complete bipartite multigraph with two partite sets having m and n vertices, respectively. A K p,q -factorization of λK m,n is a set of K p,q...
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Flexural wave bandgap properties of phononic crystal beams with interval parameters
Uncertainties are unavoidable in practical engineering, and phononic crystals are no exception. In this paper, the uncertainties are treated as the...
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Ferrers graphs, D-permutations, and surjective staircases
We introduce a new family of hyperplane arrangements inspired by the homogenized Linial arrangement (which was recently introduced by Hetyei), and...
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A Characterization of High Order Freeness for Product Arrangements and Answers to Holm’s Questions
An m -free hyperplane arrangement is a generalization of a free arrangement. Holm asked the following two questions: (1)Does m -free imply ( m + 1)-free...
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Computer Simulation of the Stress-Strain State of Functionally Graded Sandwich Plates and Shallow Shells of Complex Shape Resting on the Elastic Foundation
We consider the problem of bending of a three-layer shallow shell resting on an elastic foundation under the action of a transverse load. It is...
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Theoretical analysis of surface waves in piezoelectric medium with periodic shunting circuits
The investigations of surface waves in the piezoelectric medium bring out great possibility in designing smart surface acoustic wave (SAW) devices....
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Analyzing the Architectural Style of Railway Stations Based on Geometry and Visual Complexity: Case Studies of Liaoning Terminal and Bei**g Railway Station on the Peking–Mukden Railway
Liaoning terminal and Bei**g railway station are significant architectural heritage sites along the Peking–Mukden Railway. Their architectural...
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Non-dissipative Core Scheme of CESE Method
This chapter is devoted to demonstrating the basic ideas in the CESE method. These ideas include the adoption of a space–time integral form of...
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Tannaka Tadao‘s 1938 paper on the duality of noncommutative topological groups and its historical background
The study of the interplay between a group and the category of its representations has come to be called Tannaka duality theory (Joyal and Street,...
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Matroids of Gain Signed Graphs
A signed graph has edge signs. A gain graph has oriented edge gains drawn from a group. We define the combination of the two for the abelian case, in...
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University
Zhejiang University has been a major mathematics center in southern China since 1930s, where the first modern mathematics seminar in China was born....
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Effective property of piezoelectric composites containing coated nano-elliptical fibers with interfacial debonding
Based on both the spring layer interface model and the Gurtin-Murdoch surface/interface model, the anti-plane shear problem is studied for...
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On Klein tunneling of low-frequency elastic waves in hexagonal topological plates
Incident particles in the Klein tunnel phenomenon in quantum mechanics can pass a very high potential barrier. Introducing the concept of tunneling...
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Geometrically nonlinear inerter for vibration suppression
A two-degree-of-freedom (2DOF) vibration isolation structure with an integrated geometric nonlinear inerter (NI) device is proposed. The device is...