Until recently, only half-squares of planar bipartite graphs (the map graphs) have been investigated, and the most considered problem is if it is possible to recognize these graphs faster and simpler than Thorup’s O(n120)-time algorithm.

Let $B=(X,Y,E)$ be a bipartite graph. A half-square of $B$ has one color class of $B$ as vertex set, say $X$; two vertices are adjacent whenever they…

In Section 3.7 of [19] Spieß constructs extensions of the Steinberg representation associated to characters of the multiplicative group of a p-adic field. Such extensions were already constructed by Breuil in [5] in case the character under consider…

Let E be a quadratic extension of a totally real number field. We construct Stickelberger elements for Hilbert modular forms of parallel weight 2 in …

In this section, we present a lattice-paths algorithm to determine the numbers

We define tropical Psi-classes on the moduli space of rational tropical curves in R^2 and consider intersection products of Psi-classes and pull-back…

The author would like to thank two anonymous reviewers, Andrew Barbour, and Lutz Mattner for their comments which led to an improved version of the paper.

We consider the approximation of a convolution of possibly different probability measures by (compound) Poisson distributions and also by related sig…

In scalar-valued Poisson stochastic calculus, Clark-Ocone type representation theorems representing a G-measurable random variable as the stochastic integral of an adapted process defined in terms of its Malliavin derivative have been obtained in va…

We prove new upper and lower bounds for Banach space-valued stochastic integrals with respect to a compensated Poisson random measure. Our estimates …

We prove Theorem A in the case n=4; proofs of the other cases follow analogously. Let M=R×C4 and set

We construct examples of nondegenerate CR manifolds with Levi form of signature $(p,q)$, $2\leq p\leq q$, which are compact, not locally CR flat, and…

TE has TP2, the tree property of the second kind, and therefore it is not simple.

We prove that every many-sorted $\omega$-categorical theory is completely interpretable in a one-sorted $\omega$-categorical theory. As an applicat…

We consider the problem of a government that wants to manage the country's debt-to-GDP (gross domestic product) ratio. The latter evolves stochastica…

The greater part of this section is devoted to a generalization of the theorem of Crawley-Boevey [CB03, Theorem 1], which realizes an additive fusion product of coadjoint orbits for GLn(K), where K is a fixed perfect ground field (the primary exampl…

In this paper we determine the motivic class---in particular, the weight polynomial and conjecturally the Poincar\'e polynomial---of the open de Rham…

In this final section we study the Bernoulli actions. We will show that for a large class of C∗-algebras, the Zm-Bernoulli shift has finite Rokhlin dimension. Throughout the section all tensor products are understood as minimal tensor products.

We study Rokhlin dimension of Z^m-actions on simple separable stably finite nuclear C*-algebras. We prove that under suitable assumptions, a strongly…

We are interested in (co)localizations of the noncommutative stable homotopy category NSH since one can produce generalized (co)homology theories for separable C∗-algebras via this procedure. One would have access to a very elegant theory of (co)loc…

The noncommutative stable homotopy category $\mathtt{NSH}$ is a triangulated category that is the universal receptacle for triangulated homology theo…

We have proposed new boundary conditions for flat space spin-3 gravity (3)-(6) and flat space higher-spin gravity (59), and have shown that they lead to well defined charges as well as to a novel asymptotic symmetry algebra, (17) and (61), respectiv…

We present and discuss near horizon boundary conditions for flat space higher-spin gravity in three dimensions. As in related work our boundary condi…

Finally, we consider a popular variant of Π-Vertex Deletion where the set of deleted vertices has to be connected. Special cases of this problem that have been studied include Connected Vertex Cover [12], Connected Feedback Vertex Set [11, 20], and …

For a graph class $\Pi$, the $\Pi$-Vertex Deletion problem has as input an undirected graph $G=(V,E)$ and an integer $k$ and asks whether there is a …

Throughout this section we will assume that the map from Theorem 3.2 is injective, i.e. the injectivity part of Conjecture 3.3 is true. This was also the precondition for Tasaka’s original proof of Theorem 1.4.

Inspired by a paper of Tasaka, we study the relations between totally odd, motivic depth-graded multiple zeta values. Our main objective is to determ…

We are going to use certain permanence properties to establish the equivalence between the Davis–Lück and the Baum–Connes assembly maps with coefficients in K. A key ingredient for us will be the Chabert–Echterhoff–Oyono-Oyono going-down mechanism […

We prove that any countable discrete and torsion free subgroup of a general linear group over an arbitrary field or a similar subgroup of an almost c…

In this section we will discuss the case of inhomogeneous boundary conditions and how these lead to some restrictions. We now consider (1.2)-(1.5) with the following inhomogeneous boundary conditions, that is we replace (1.6)-(1.8) by

In this paper we investigate the compressible Navier-Stokes-Cahn-Hilliard equations (the so-called NSCH model) derived by Lowengrub and Truskinowsky.…

While the process of creating process models using change primitives has caused some interest in recent years [4, 5, 6, 7], our understanding of the process of creating process models using change patterns is limited. This paper proposes a research …

Process model quality has been an area of considerable research efforts. In this context, the correctness-by-construction principle of change pattern…

The equilibrium properties of block copolymer micelles confined in polymer thin films are investigated using self-consistent field theory. The theory…

In this section we show that πk(M+(M,T)) is non-trivial for manifolds as in Example 2.5.

We show that the higher homotopy groups of the moduli space of torus-invariant positive scalar curvature metrics on certain quasitoric manifolds are …

In this work we studied the suitability of generalized concatenated codes in the McEliece cryptosystem, motivated by the advantage of faster decoding than codes without concatenated structure. First, we gave a partial classification of GC codes that…

The security of public-key cryptosystems is mostly based on number theoretic problems like factorization and the discrete logarithm. There exists an …

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