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Apr 20, 2017
Probability

In this section, let d∈N and let X=(Xt)t∈[0,∞) be a Lévy process on (Ω,G,P), relative to a filtration F=(Ft)t∈[0,∞) on Ω satisfying F∞⊂G, taking values in (Rd,BRd): so X is adapted and has stationary independent increments relative to F, vanishes at…

Independence times for iid sequences, random walks and Lévy processes

For a sequence in discrete time having stationary independent values (respectively, random walk) $X$, those random times $R$ of $X$ are characterized…
Feb 02, 2017
Complex Variables
Differential Geometry

In this section, we consider isotropic complex submanifolds M of higher dimension in a complex contact manifold (X2n+1,ξ), and we prove a contact neighborhood theorem in the case when M is a Stein submanifold; see Theorem 5.3. In the special case wh…

Darboux charts around holomorphic Legendrian curves and applications

In this paper, we find a holomorphic Darboux chart around any immersed noncompact holomorphic Legendrian curve in a complex contact manifold $(X,\xi)…
Nov 26, 2013
Geometric Topology

Immersed disks, slicing numbers and concordance unknotting numbers

We study three knot invariants related to smoothly immersed disks in the four-ball. These are the four-ball crossing number, which is the minimal num…
Dec 02, 2013
Computational Complexity
Formal Languages and Automata Theory

In this section we prove the main results of this paper.

Verifying whether One-Tape Non-Deterministic Turing Machines Run in T…

We discuss the following family of problems, parameterized by integers $C\geq 2$ and $D\geq 1$: Does a given one-tape non-deterministic $q$-state Tur…
Mar 09, 2012
Statistical Mechanics

Heat transport in quantum harmonic chains with Redfield baths

We provide an explicit method for solving general markovian master equations for quadratic bosonic Hamiltonians with linear bath operators. As an exa…
Mar 01, 2009

Clumps of material orbiting a black hole and the QPOs

Clumps of material orbiting a black hole may be disturbed, somewhat like comets in the Kuiper belt, to relatively small periastron orbits. Each peria…
Feb 21, 2018
Numerical Analysis

Subspace Methods for 3-Parameter Eigenvalue Problems

We propose subspace methods for 3-parameter eigenvalue problems. Such problems arise when separation of variables is applied to separable boundary va…
Feb 02, 2012
Data Structures and Algorithms
Computational Geometry

Multiple-Source Shortest Paths in Embedded Graphs

Let G be a directed graph with n vertices and non-negative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary…
Sep 17, 2013

Chromospherically Active Stars in the RAVE Survey. I. The Catalogue

RAVE, the unbiased magnitude limited survey of the southern sky stars, contained 456,676 medium-resolution spectra at the time of our analysis. Spect…
May 09, 2011

Single-lined Spectroscopic Binary Star Candidates in the RAVE Survey

Repeated spectroscopic observations of stars in the Radial Velocity Experiment (RAVE) database are used to identify and examine single-lined binary (…
May 07, 2015
Social and Information Networks
Discrete Mathematics
Combinatorics
Physics and Society

An algebraic approach to temporal network analysis based on temporal …

In a temporal network, the presence and activity of nodes and links can change through time. To describe temporal networks we introduce the notion of…
Feb 14, 2017
Statistical Mechanics
Strongly Correlated Electrons

Spin diffusion from an inhomogeneous quench in an integrable system

Generalised hydrodynamics predicts universal ballistic transport in integrable lattice systems when prepared in generic inhomogeneous initial states.…
Jul 13, 2017
Algebraic Topology
Robotics

A Topologist's View of Kinematic Maps and Manipulation Complexity

In this paper we combine a survey of the most important topological properties of kinematic maps that appear in robotics, with the exposition of some…
Aug 02, 2017
Algebraic Topology

Complexity of the forward kinematic map

The main objective of this paper is to introduce a new method for qualitative analysis of various designs of robot arms. To this end we define the co…
Mar 27, 2013
Combinatorics

Symmetry Type Graphs of Abstract Polytopes and Maniplexes

A $k$-orbit maniplex is one that has $k$ orbits of flags under the action of its automorphism group. In this paper we extend the notion of symmetry t…
Dec 09, 2010
Geometric Topology

Smooth concordance of links topologically concordant to the Hopf link

It was shown by Jim Davis that a 2-component link with Alexander polynomial one is topologically concordant to the Hopf link. In this paper, we show …
Jan 29, 2017
Algebraic Topology

The Higher-Dimensional Skeletonization Problem

Real data is often given as a point cloud, i.e. a finite set of points with pairwise distances between them. An important problem is to detect the to…
Feb 15, 2014

Phenomenology of Reverse-Shock Emission in the Optical Afterglows of …

We use a parent sample of 118 gamma-ray burst (GRB) afterglows, with known redshift and host galaxy extinction, to separate afterglows with and witho…
Feb 26, 2014
Combinatorics

In this section we first prove that if Qd(f)≅Qd(f′), then |f|=|f′|. Then we pose the question whether there is some relation between |f| (=|f′|) and d provided that Qd(f)≅Qd(f′). To this end we prove that there exist non-trivial pairs f,f′ such that…

On Isomorphism Classes of Generalized Fibonacci Cubes

The generalized Fibonacci cube $Q_d(f)$ is the subgraph of the $d$-cube $Q_d$ induced on the set of all strings of length $d$ that do not contain $f$…
Nov 17, 2008
Combinatorics

The authors would like to thank Riste Škrekovski for discussions on cyclic colorings of plane graphs.

Cyclic colorings of plane graphs with independent faces

Let G be a plane graph with maximum face size D. If all faces of G with size four or more are vertex disjoint, then G has a cyclic coloring with D+1 …
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