Institut für Mathematik

  1. Universität
  2. Fakultäten
  3. Mathematisch-Naturwissenschaftlich-Technische Fakultät
  4. Institut für Mathematik
  5. Lehrstühle
  6. Emeriti
  7. Heinrich
  8. Vorträge

Vorträge

Vorträge

2018

  • Title to be announced 13th German Probability and Statistics Days 2018, Albert-Ludwigs-University Freiburg (Germany), February 27 - March 02, 2018.

2017

  • Functional central limit theorems for empirical K-functions of stationary point processes with applications. 19th International Congress of the ÖMG/Annual meeting of the DMV 2017, Paris-Lodron University of Salzburg (Austria), September 11 - 15, 2017.

  • Asymptotic normality for a class of empirical functionals of strongly mixing marked point processes. 31st European Meeting of Statisticians , University of Helsinki (Finland), July 24 - 28, 2017 .

  • Central limit theorems for non-Poisson hyperplane processes in expanding convex bodies. 19th Workshop on Stochastic Geometry, Stereology and Image Analysis , Centre International de Rencontres Mathématiques in Luminy (France) , May 15 - 19, 2017.

  • On Brillinger-mixing point processes with some applications. International Workshop "Applied Probability @ The Rock", Ayers Rock Resort (Australia), April 17 - 21, 2017.

2016

  • Cumulants and their role in proving central limits theorems (I), The Brillinger-mixing property of stationary point processes (II). Workshop of the DFG-Network "Cumulants, Concentration and Superconcentration" , University of Osnabrück (Germany), December 06 - 08, 12. 2016.

  • Asymptotic hypotheses testing in second-order point process statistics. Seminartalk at the Working Group Statistics, TU Kaiserslautern (Germany), November 04, 2016.

  • Central limit theorem for strongly mixing marked point processes with applications. 8th International Workshop on Applied Probability, Toronto (Canada), June 20 - 23, 2016.

  • Local limit theorem with rates for sums of partial quotients of continued fractions. 12th German Probability and Statistics Days 2016, Ruhr-University Bochum (Germany), March 01 - 04, 03. 2016.

2015

  • Asymptotic hypotheses testing in second-order point process statistics. Seminartalk at the Laboratoire Marin Mersenne, Université Paris 1, Paris (France), November 06, 2015.

  • On Brillinger-mixing point processes with a special focus on alpha- determinantal point processes. Recent developments in statistics for complex dependent data , Loccum (Germany), August 27 - 30, 2015.

  • Some remarks on determinantal point processes. 18th Workshop on Stochastic Geometry, Stereology and Image Analysis, Lingen (Germany), March 22 - 27, 2015.

  • Bounds of chord power integrals for some classes of convex bodies and a remark on determinantal point processes. Seminartalk at the Chair of Probability Theory and Mathematical Statistics, Faculty of Mathematics and Physics, Charles University in Prague, Prague (Czech Republic), March 11, 2015.

2014

  • Gaussian limits of empirical multiparameter K-functions for spatial point processes. 11th International Conference on Probability Theory and Mathematical Statistics, Vilnius (Lithuania), June 30 - July 04, 2014.

  • Gaussian limits of empirical multiparameter K-functions and hypotheses testing for spatial point processes. 7th International Workshop on Applied Probability, Antalya (Turkey), June 16 - 19, 2014.

  • Lower and upper bounds for chord power integrals for ellipsoids. IX International Conference on Stochastic Geometry, Convex Bodies, Empirical Measures and Applications to Mechanics and Engineering Train Transport, Calatabiano (Italy), May 14 - 17, 2014.

  • (jointly with Appelt, M.): A stable limit theorem for recurrence times of the simple symmetric random walk on the 2D-integer lattice. 11th German Probability and Statistics Days 2014, Ulm (Germany), March 04 - 07, 2014.

2013

  • (jointly with Appelt, M.): A logarithmic stable limit law for the geometric mean of recurrence times of the simple symmetric random walk on the two-dimensional integrer lattice. ÖMG-Kongress/DMV-Jahrestagung 2013, Innsbruck (Austria), September 23 - 27, 2013.

  • Some inequalities and extremal problems for chord-power integrals of ellipsoids and parallelotopes. 17th Workshop on Stochastic Geometry, Stereology and Image Analysis , Torun (Poland), June 10 - 14, 2013.

2012

  • (jointly with Klein, S. and Moser, M.): Empirical mark covariance and product density function of stationary marked point processes. 7th International Conference on Stereology, Spatial Statistics and Stochastic Geometry S4G'2012, Charles University in Prague (Czech Republic), June 25 - 28, 2012.

  • (jointly with Spiess, M.): (2012) Asymptotic normality of the volume covered by a stationary Poisson cylinder process. 6th International Workshop on Applied Probability, Jerusalem (Israel), June 11 - 14, 2012.

  • Central limit theorems for Poisson hyperplane processes and some remarks on Brillinger-mixing point processes. Seminartalk at the Laboratoire de Mathématiques Raphaël Salem, Université Rouen, Rouen (France), March 19, 2012.

  • (jointly with Spiess, M.): Limit theorems for the volume fraction covered by a union of Poisson cylinder. 10th German Probability and Statistics Days 2012 , Mainz (Germany), March 06 - 09 , 2012.

2011

  • Heinrich, L. (jointly with Spiess, M.): Normal approximation and asymptotic variances of the volume covered by Poisson cylinders. 13th International Congress for Stereology, Tsinghua University Beijing (People's Republic of China), October 13 - 23, 2011.

  • Some new results on second-order chord power integrals of convex quadrangles. VIII International Conference on Stochastic Geometry, Convex Bodies, Empirical Measures and Applications to Mechanics and Engineering Train Transport, Taormina (Italy), September 28 - 30, 2011 .

  • On the Brillinger-mixing property of stationary point processes. 16th Workshop on Stochastic Geometry, Stereology and Image Analysis, Soenderborg (Denmark), June 05 - 10, 2011.

2010

  • Central limit theorems for Poisson hyperplane processes and extremal problems for convex bodies. 5th International Workshop on Applied Probability, Madrid (Spain), July 05 - 08, 2010.

  • On covariance matrices associated with Poisson hyperplane processes and some geometric inequalities. Czech Summer School on Stochastic Geometry, Horská Kvilda (Czech Republic), June 21 - 24, 2010.

  • Covariance matrices generated by Poisson hyperplane processes and extremal problems related with them. Workshop on Convex and Stochastic Geometry, Bad Herrenalb (Deutschland), May 30 - June 04, 2010.

  • Minimal variances of Poisson line processes in convex domains and lower bounds of second-order chord power integrals. 9th German Open Conference on Probability and Statistics 2010 (Leipziger Stochastik-Tage 2010), Leipzig (Germany), March 02 - 05, 2010.

2009

  • Local limit theorems for sums of partial quotients of continued fractions. ÖMG-Kongress/DMV-Jahrestagung 2009, Graz (Austria), September 23 - 27, 2009.

  • (jointly with David, S.): Asymptotic goodness-of-fit tests for point processes based on second-order product densities. 57th Session of the International Statistical Institute, Durban (Republic of South Africa), 16 - 22 August, 2009.

  • On lower bounds of second-order chord power integrals of convex discs. VII International Conference on Stochastic Geometry, Convex Bodies, Empirical Measures and Applications to Mechanics and Engineering Train Transport, Messina (Italy), April 22 - 24, 2009.

  • (jointly with Moser, M.): Limit theorems for empirical mark covariance functions of stationary marked point processes. 15th Workshop on Stochastic Geometry, Stereology and Image Analysis, Blaubeuren (Germany), March 22 - 27, 2009 .

2008

  • Central limit theorems for statistics of Poisson-based and mixing random set models (Tagungsbericht 47/2008). New Perspectives in Stochastic Geometry, Oberwolfach (Germany), October 19 - 25, 2008.

  • (jointly with David, S.): Asymptotic goodness-of-fit tests for point processes based on second-order characteristics. 7th World Congress in Probability and Statistics, Singapore, July 14 - 19, 2008.

  • Asymptotic Gaussianity of unscaled and scaled empirical K-functions and their use for testing point process hypotheses. Budweis Minisymposium on Stochastic Geometry, Ceské Budejovice (Czech Republic), June 23 - 25, 2008.

  • Gaussian limits of multiparameter empirical K-functions of spatial Poisson processes. 8th German Open Conference on Probability and Statistics 2008 (Aachener Stochastik-Tage 2008), Aachen (Germany), March 04 - 07, 2008.

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