Lasse Leskelä

Lecture notes

• Random graphs and network statistics.
  • Aalto University 2018--2019.
• Stokastiikka ja tilastollinen ajattelu.
  • Aalto University 5 Dec 2017.
• Stokastiset prosessit.
  • Aalto University 14 Oct 2015.
• Stokastiikan perusteet.
  • University of Jyväskylä, 10 Dec 2013.

Research papers

• First passage percolation in sparse random graphs with boundary weights.
  • Journal of Applied Probability, to appear.
  • L Leskelä, H Ngo.
• Pathwise Stieltjes integrals of discontinuously evaluated stochastic processes.
  • Stochastic Processes and their Applications, to appear.
  • Z Chen, L Leskelä, L Viitasaari.
• Analysis of large sparse graphs using regular decomposition of graph distance matrices.
  • IEEE Big Data 2018.
  • H Reittu, L Leskelä, T Räty, M Fiorucci.
• Parameter estimators of sparse random intersection graphs with thinned communities.
  • WAW 2018.
  • J Karjalainen, JSH van Leeuwaarden, L Leskelä.
• Moment-based parameter estimation in binomial random intersection graph models.
  • WAW 2017.
  • J Karjalainen, L Leskelä.
• The impact of degree variability on connectivity properties of large networks.
  • Internet Mathematics 2017 / WAW 2015.
  • L Leskelä, H Ngo.
• Conditional convex orders and measurable martingale couplings.
  • Bernoulli 2017.
  • L Leskelä, M Vihola.
• Diclique clustering in a directed random graph.
  • WAW 2016.
  • M Bloznelis, L Leskelä.
• Information spreading in a large population of active transmitters and passive receivers.
  • SIAM Journal on Applied Mathematics 2015.
  • P Aalto, L Leskelä.
• Geometric juggling with q-analogues.
  • Discrete Mathematics 2015.
  • A Engström, L Leskelä, H Varpanen.
• Flow coupling and stochastic ordering of throughputs in linear networks.
  • Valuetools 2014.
  • L Leskelä.
• Hard-core thinnings of germ–grain models with power-law grain sizes.
  • Advances in Applied Probability 2013.
  • M Kuronen, L Leskelä.
• Stochastic order characterization of uniform integrability and tightness.
  • Statistics & Probability Letters 2013.
  • L Leskelä, M. Vihola
• Stability of a spatial polling system with greedy myopic service.
  • Annals of Operations Research 2012.
  • L Leskelä, F Unger.
• Juggler's exclusion process.
  • Journal of Applied Probability 2012.
  • L Leskelä, H Varpanen.
• A dilution test for the convergence of subseries of a monotone series.
  • Journal of Classical Analysis 2012.
  • L Leskelä, M Stenlund
• A local limit theorem for a transient chaotic walk in a frozen environment.
  • Stochastic Processes and their Applications 2011.
  • L Leskelä, M Stenlund.
• Interacting branching processes and linear file-sharing networks.
  • Advances in Applied Probability 2010.
  • L Leskelä, P Robert, F Simatos.
• Stochastic relations of random variables and processes.
  • Journal of Theoretical Probability 2010.
  • L Leskelä.
• Computational methods for stochastic relations and Markovian couplings.
  • SMCTools 2009.
  • L Leskelä.
• Stochastic bounds for two-layer loss systems.
  • Stochastic Models 2008.
  • M Jonckheere, L Leskelä.
• Stability of parallel queueing systems with coupled service rates.
  • Discrete Event Dynamic Systems 2008.
  • S Borst, M Jonckheere, L Leskelä.
• Scaling limits for random fields with long-range dependence.
  • Annals of Probability 2007.
  • I Kaj, L Leskelä, I Norros, V Schmidt.
• A tandem queueing network with feedback admission control.
  • NET-COOP 2007.
  • L Leskelä, J Resing.
• Stabilization of an overloaded queueing network using measurement-based admission control.
  • Journal of Applied Probability 2006.
  • L Leskelä.
• Does repacking improve performance of multiclass loss networks with overflow routing?
  • ITC 2005
  • L George, M Jonckheere, L Leskelä.

Theses

• Comparison and scaling methods for performance analysis of stochastic networks.
  • D.Sc. thesis, Helsinki University of Technology, 2005.
• Implementing arithmetic for elliptic curve cryptosystems.
  • M.Sc. thesis, Helsinki University of Technology, 1999.

Posters

• Stochastic ordering of network throughputs using flow couplings. (pdf)
  • 10th Stochastic Networks Conference, 18–22 June 2012, Massachusetts Institute of Technology, Cambridge, USA.
• Stochastic relations of random variables and processes. (pdf)
  • 8th Stochastic Networks Conference, 23–28 June 2008, École Normale Supérieure, Paris, France.
• Stability of parallel queueing systems with coupled service rates. (pdf)
  • BRICKS Midterm Symposium, 13 March 2007, Centrum Wiskunde & Informatica, Amsterdam, the Netherlands.

Software

• STOCHREL – A Matlab Stochastic Relations Package.
  • Version 1.0 released 2008-10-01.