55221
2016
2016
eng
45
1
10
article
World Scientific
Singapore
1
2016-11-04
2016-11-04
--
Corner boundary value problems
The paper develops some crucial steps in extending the first-order cone or edge calculus to higher singularity orders. We focus here on order 2, but the ideas are motivated by an iterative approach for higher singularities.
Asian-European journal of mathematics
10.1142/S1793557117500541
1793-5571
1793-7183
wos:2017
1750054
WOS:000398854100021
Mahmoudi, MH (reprint author), Univ Potsdam, Inst Math, D-14476 Potsdam, Germany., mhedayatmahmoudi@gmail.com; schulze@math.uni-potsdam.de
2022-06-17T10:28:33+00:00
sword
importub
filename=package.tar
e7ff5f78c0119222914f4b5c0c8ad864
Hedayat Mahmoudi, Mahdi
Schulze, Bert-Wolfgang
false
true
Mahdi Hedayat Mahmoudi
Bert-Wolfgang Schulze
eng
uncontrolled
Mellin operators
eng
uncontrolled
Mellin oscillatory integrals
eng
uncontrolled
exit calculus
eng
uncontrolled
weighted Sobolev spaces
Mathematik
Institut für Mathematik
Referiert
Import
45903
2016
2016
eng
447
481
35
270
article
Elsevier
San Diego
1
--
--
--
Bivariant K-theory with R/Z-coefficients and rho classes of unitary representations
We construct equivariant KK-theory with coefficients in and R/Z as suitable inductive limits over II1-factors. We show that the Kasparov product, together with its usual functorial properties, extends to KK-theory with real coefficients. Let Gamma be a group. We define a Gamma-algebra A to be K-theoretically free and proper (KFP) if the group trace tr of Gamma acts as the unit element in KKR Gamma (A, A). We show that free and proper Gamma-algebras (in the sense of Kasparov) have the (KFP) property. Moreover, if Gamma is torsion free and satisfies the KK Gamma-form of the Baum-Connes conjecture, then every Gamma-algebra satisfies (KFP). If alpha : Gamma -> U-n is a unitary representation and A satisfies property (KFP), we construct in a canonical way a rho class rho(A)(alpha) is an element of KKR/Z1,Gamma (A A) This construction generalizes the Atiyah-Patodi-Singer K-theory class with R/Z-coefficients associated to alpha. (C) 2015 Elsevier Inc. All rights reserved.
Journal of functional analysis
10.1016/j.jfa.2015.06.017
0022-1236
1096-0783
wos2016:2019
WOS:000365243900015
Skandalis, G (reprint author), Univ Paris 06, Sorbonne Univ, Sorbonne Paris Cite, Univ Paris Diderot,CNRS,IMJ,PRG UFR Math, CP 7012 Batiment Sophie Germain,5 rue Thomas Mann, F-75205 Paris 13, France., paolo.antonini@math.u-psud.fr; azzali@uni-potsdam.de; skandalis@math.univ-paris-diderot.fr
European Research Council (E.R.C.) under European Union, ERC [291060]; University of Potsdam; [ANR-14-CE25-0012-01]
importub
2020-03-22T22:25:01+00:00
filename=package.tar
abbd539510a48f00276eac9c2e58ee14
Paolo Antonini
Sara Azzali
Georges Skandalis
eng
uncontrolled
Operator algebras
eng
uncontrolled
Bivariant K-theory
eng
uncontrolled
Rho invariants
Institut für Mathematik
Referiert
Import
45899
2016
2016
eng
73
86
14
91
article
Springer
Dordrecht
1
--
--
--
Criticising with Foucault: towards a guiding framework for socio-political studies in mathematics education
Socio-political studies in mathematics education often touch complex fields of interaction between education, mathematics and the political. In this paper I present a Foucault-based framework for socio-political studies in mathematics education which may guide research in that area. In order to show the potential of such a framework, I discuss the potential and limits of Marxian ideology critique, present existing Foucault-based research on socio-political aspects of mathematics education, develop my framework and show its use in an outline of a study on socio-political aspects of calculation in the mathematics classroom.
Educational studies in mathematics : an international journal
10.1007/s10649-015-9648-5
0013-1954
1573-0816
wos2016:2019
WOS:000365752900009
Kollosche, D (reprint author), Univ Potsdam, Grundschulpadagog Math, Karl Liebknecht Str 24, D-14476 Potsdam, Germany., david.kollosche@uni-potsdam.de
importub
2020-03-22T22:23:01+00:00
filename=package.tar
6c2c86ad02750b4fd38563c04d833d9a
David Kollosche
eng
uncontrolled
Critique
eng
uncontrolled
Marx
eng
uncontrolled
Foucault
eng
uncontrolled
Critical mathematics education
eng
uncontrolled
Calculation
Institut für Mathematik
Referiert
Import
45856
2016
2016
eng
85
96
12
289
article
Wiley-VCH
Weinheim
1
--
--
--
Splitting-characterizations of the Papangelou process
For point processes we establish a link between integration-by-parts-and splitting-formulas which can also be considered as integration-by-parts-formulas of a new type. First we characterize finite Papangelou processes in terms of their splitting kernels. The main part then consists in extending these results to the case of infinitely extended Papangelou and, in particular, Polya and Gibbs processes. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Mathematische Nachrichten
10.1002/mana.201400384
0025-584X
1522-2616
wos2016:2019
WOS:000369958500008
Zessin, H (reprint author), Univ Bielefeld, Fak Math, Postfach 10 01 31, D-33501 Bielefeld, Germany., benjamin.nehring@gmail.com; rafler@math.tu-berlin.de; zessin@math.uni-bielefeld.de
importub
2020-03-22T22:01:01+00:00
filename=package.tar
c3c48e5d9c868384728bb511c0ea2223
Benjamin Nehring
Mathias Rafler
Hans Zessin
eng
uncontrolled
Papangelou processes
eng
uncontrolled
characterization of point processes
eng
uncontrolled
independent splittings
eng
uncontrolled
Gibbs processes
Institut für Mathematik
Referiert
Import
45833
2016
2016
eng
61
89
29
97
article
IOS Press
Amsterdam
1
--
--
--
Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators
We analyze a general class of difference operators H-epsilon = T-epsilon + V-epsilon on l(2)(((epsilon)Z)(d)), where V-epsilon is a multi-well potential and epsilon is a small parameter. We construct approximate eigenfunctions in neighbourhoods of the different wells and give weighted l(2)-estimates for the difference of these and the exact eigenfunctions of the associated Dirichlet-operators.
Asymptotic analysis
10.3233/ASY-151343
0921-7134
1875-8576
wos2016:2019
WOS:000372741100003
Rosenberger, E (reprint author), Univ Potsdam, Inst Math, Karl Liebknecht Str 24-25, D-14476 Potsdam, Germany., mklein@math.uni-potsdam.de; erosen@uni-postdam.de
importub
2020-03-22T21:49:01+00:00
filename=package.tar
87f9d7afc136bff4bc9db5e35a14dd46
Markus Klein
Elke Rosenberger
Institut für Mathematik
Referiert
Import
45819
2016
2016
eng
132
137
6
87
article
Seismological Society of America
Albany
1
--
--
--
The Earthquake History in a Fault Zone Tells Us Almost Nothing about m(max)
In the present study, we summarize and evaluate the endeavors from recent years to estimate the maximum possible earthquake magnitude m(max) from observed data. In particular, we use basic and physically motivated assumptions to identify best cases and worst cases in terms of lowest and highest degree of uncertainty of m(max). In a general framework, we demonstrate that earthquake data and earthquake proxy data recorded in a fault zone provide almost no information about m(max) unless reliable and homogeneous data of a long time interval, including several earthquakes with magnitude close to m(max), are available. Even if detailed earthquake information from some centuries including historic and paleoearthquakes are given, only very few, namely the largest events, will contribute at all to the estimation of m(max), and this results in unacceptably high uncertainties. As a consequence, estimators of m(max) in a fault zone, which are based solely on earthquake-related information from this region, have to be dismissed.
Seismological research letters
10.1785/0220150176
0895-0695
1938-2057
wos2016:2019
WOS:000375045700013
Zoller, G (reprint author), Univ Potsdam, Inst Math, Karl Liebknecht Str 24-25, D-14476 Potsdam, Germany., zoeller@uni-potsdam.de
importub
2020-03-22T21:43:02+00:00
filename=package.tar
316ae2730d8db7893ff462cfa6d167b7
Gert Zöller
Matthias Holschneider
Institut für Mathematik
Referiert
Import
45771
2016
2016
eng
977
1088
112
65
article
Indiana University, Department of Mathematics
Bloomington
1
--
--
--
Weakly Differentiable Functions on Varifolds
The present paper is intended to provide the basis for the study of weakly differentiable functions on rectifiable varifolds with locally bounded first variation. The concept proposed here is defined by means of integration-by-parts identities for certain compositions with smooth functions. In this class, the idea of zero boundary values is realised using the relative perimeter of superlevel sets. Results include a variety of Sobolev Poincare-type embeddings, embeddings into spaces of continuous and sometimes Holder-continuous functions, and point wise differentiability results both of approximate and integral type as well as coarea formulae. As a prerequisite for this study, decomposition properties of such varifolds and a relative isoperimetric inequality are established. Both involve a concept of distributional boundary of a set introduced for this purpose. As applications, the finiteness of the geodesic distance associated with varifolds with suitable summability of the mean curvature and a characterisation of curvature varifolds are obtained.
Indiana University mathematics journal
10.1512/iumj.2016.65.5829
0022-2518
1943-5258
wos2016:2019
WOS:000381237600010
Menne, U (reprint author), Albert Einstein Inst, Max Planck Inst Gravitat Phys, Muhlenberg 1, D-14476 Golm, Germany.; Menne, U (reprint author), Univ Potsdam, Inst Math, OT Golm, Karl Liebknecht Str 24-25, D-14476 Potsdam, Germany., Ulrich.Menne@aei.mpg.de
importub
2020-03-22T21:19:01+00:00
filename=package.tar
ccbf442ff0edffb1768cae5f8f222c4d
Ulrich Menne
eng
uncontrolled
Rectifiable varifold
eng
uncontrolled
(generalised) wealdy differentiable function
eng
uncontrolled
distributional boundary
eng
uncontrolled
decomposition
eng
uncontrolled
relative isoperimetric inequality
eng
uncontrolled
Sobolev Poincare inequality
eng
uncontrolled
approximate differentiability
eng
uncontrolled
coarea formula
eng
uncontrolled
geodesic distance
eng
uncontrolled
curvature varifold
Institut für Mathematik
Referiert
Import
45746
2016
2016
eng
A1317
A1338
22
38
article
Society for Industrial and Applied Mathematics
Philadelphia
1
--
--
--
MULTILEVEL ENSEMBLE TRANSFORM PARTICLE FILTERING
This paper extends the multilevel Monte Carlo variance reduction technique to nonlinear filtering. In particular, multilevel Monte Carlo is applied to a certain variant of the particle filter, the ensemble transform particle filter (EPTF). A key aspect is the use of optimal transport methods to re-establish correlation between coarse and fine ensembles after resampling; this controls the variance of the estimator. Numerical examples present a proof of concept of the effectiveness of the proposed method, demonstrating significant computational cost reductions (relative to the single-level ETPF counterpart) in the propagation of ensembles.
SIAM journal on scientific computing
10.1137/15M1038232
1064-8275
1095-7197
wos2016:2019
WOS:000385282800003
Gregory, A (reprint author), Imperial Coll London, Dept Math, London SW7 2AZ, England., a.gregory14@imperial.ac.uk; colin.cotter@imperial.ac.uk; sreich@math.uni-potsdam.de
Science and Solutions to a Changing Planet DTP; Natural Environmental Research Council
importub
2020-03-22T21:06:01+00:00
filename=package.tar
4be646ae9497c68b8679002e8efdb87a
A. Gregory
C. J. Cotter
Sebastian Reich
eng
uncontrolled
multilevel Monte Carlo
eng
uncontrolled
sequential data assimilation
eng
uncontrolled
optimal transport
Institut für Mathematik
Referiert
Import
45739
2016
2016
eng
55
63
9
82
article
Institutum Bolyaianum Universitatis Szegediensis
Szeged
1
--
--
--
Generating sets of infinite full transformation semigroups with restricted range
In the present paper, we consider minimal generating sets of infinite full transformation semigroups with restricted range modulo specific subsets. In particular, we determine relative ranks.
Acta scientiarum mathematicarum
10.14232/actasm-015-502-4
0001-6969
wos2016:2019
WOS:000386393900005
Tinpun, K (reprint author), Univ Potsdam, Fac Sci, Inst Math, Karl Liebknecht Str 24-25, D-14476 Golm, Germany., tinpun@uni-potsdam.de; koppitz@uni-potsdam.de
importub
2020-03-22T21:03:02+00:00
filename=package.tar
74d012b48c1d2b713b9919bdfccad0e0
Kittisak Tinpun
Jörg Koppitz
eng
uncontrolled
generating sets
eng
uncontrolled
transformation semigroups
eng
uncontrolled
restricted range
eng
uncontrolled
relative ranks
Institut für Mathematik
Referiert
Import
45725
2016
2016
eng
63
91
29
147
article
IOS Press
Amsterdam
1
--
--
--
Answer Set Programming Modulo Acyclicity
Acyclicity constraints are prevalent in knowledge representation and applications where acyclic data structures such as DAGs and trees play a role. Recently, such constraints have been considered in the satisfiability modulo theories (SMT) framework, and in this paper we carry out an analogous extension to the answer set programming (ASP) paradigm. The resulting formalism, ASP modulo acyclicity, offers a rich set of primitives to express constraints related to recursive structures. In the technical results of the paper, we relate the new generalization with standard ASP by showing (i) how acyclicity extensions translate into normal rules, (ii) how weight constraint programs can be instrumented by acyclicity extensions to capture stability in analogy to unfounded set checking, and (iii) how the gap between supported and stable models is effectively closed in the presence of such an extension. Moreover, we present an efficient implementation of acyclicity constraints by incorporating a respective propagator into the state-of-the-art ASP solver CLASP. The implementation provides a unique combination of traditional unfounded set checking with acyclicity propagation. In the experimental part, we evaluate the interplay of these orthogonal checks by equipping logic programs with supplementary acyclicity constraints. The performance results show that native support for acyclicity constraints is a worthwhile addition, furnishing a complementary modeling construct in ASP itself as well as effective means for translation-based ASP solving.
Fundamenta informaticae
10.3233/FI-2016-1398
0169-2968
1875-8681
wos2016:2019
WOS:000388719500004
Gebser, M (reprint author), Univ Potsdam, Inst Informat, August Bebel Str 89, D-14482 Potsdam, Germany., jori.bomanson@aalto.fi; tomi.janhunen@aalto.fi; torsten@cs.uni-potsdam.de; gebser@cs.uni-potsdam.de; kaufmann@cs.uni-potsdam.de
Academy of Finland [251170, 57071677/279121]; DFG [SCHA 550/8, 550/9]; DAAD
importub
2020-03-22T20:56:02+00:00
filename=package.tar
450f5074bd364b3a251915c97f33b41d
Jori Bomanson
Tomi Janhunen
Torsten H. Schaub
Martin Gebser
Benjamin Kaufmann
Institut für Mathematik
Referiert
Import