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Spectra and Normal Forms
This book presents the reader with a streamlined exposition of the notions and results leading to the construction of normal forms and, ultimately,...
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Spectra and Examples
In this chapter we introduce the notions of tempered exponential dichotomy and of tempered spectrum for a sequence of...
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Group schemes and motivic spectra
By a theorem of Mandell, May, Schwede and Shipley [21] the stable homotopy theory of classical S 1 -spectra is recovered from orthogonal spectra. In...
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Self-adjoint Operators and Spectra
In this chapter, we summarize basic knowledge from functional analysis for the spectral theory needed in later arguments. Starting from the...
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Global structure of spectra of periodic non-Hermitian Jacobi operators
We give global structure of spectra of periodic non-Hermitian Jacobi operators by the discriminant and its stationary points. We also give necessary...
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Interpretations of Spectra
The studies of homological mirror symmetry as correspondence of Lefshetz pencils was initiated as part of the general theory of categorical linear...
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Spectra, Group Representations and Twisted Laplacians
In this chapter, we review basic notions about spectra, group representations, and twisted Laplace operators. We first recall how to define the...
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Spectra of Signed Graphs
A signed graph is a graph that has a sign assigned to each of its edges. Signed graphs were introduced by Harary in 1953 in relation to certain...
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Recovering the Shape of an Equilateral Quantum Tree by Two Spectra
We show how to find the shape of an equilateral tree using the spectra of the Neumann and the Dirichlet problems generated by the Sturm–Liouville...
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Valuative Lattices and Spectra
The first part of the present article consists in a survey about the dynamical constructive method designed using dynamical theories and dynamical...
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Marchenko–Pastur Law for Spectra of Random Weighted Bipartite Graphs
AbstractWe study the spectra of random weighted bipartite graphs. We establish that, under specific assumptions on the edge probabilities, the...
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On Three Spectra Problem and Ambarzumian’s Theorem
A functional equation is considered which appears in the Hochstadt–Liebermann problem and in the Sturm–Liouville three spectra problem. Solving this...
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On the spectra of wreath products of circulant graphs
In this paper, we consider the wreath product of two graphs that yields much more larger graphs than other graph products. We drive a formula for the...
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Synthetic spectra and the cellular motivic category
To an Adams-type homology theory we associate the notion of a synthetic spectrum; this is a product-preserving sheaf on the site of finite spectra...
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Big Ramsey Spectra of Countable Chains
A big Ramsey spectrum of a countable chain (i.e. strict linear order) C is a sequence of big Ramsey degrees of finite chains computed in C . In this...
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Longest Common Prefix Arrays for Succinct k-Spectra
The k-spectrum of a string is the set of all distinct substrings of length k occurring in the string. K-spectra have many applications in...
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Comparing the Spectra of Oscillation Exponents of a Nonlinear System and the First Approximation System
AbstractWe study the oscillation exponents of differential systems. It is established that there is no dependence between the spectra of oscillation...
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