Lecture notes
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Stokastiikka ja tilastollinen ajattelu.
- Aalto University 5 Dec 2017.
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Stokastiset prosessit.
- Aalto University 14 Oct 2015.
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Stokastiikan perusteet.
- University of Jyväskylä, 10 Dec 2013.
Research papers
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First passage percolation in sparse random graphs with boundary weights.
- Submitted.
- L Leskelä, H Ngo.
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Pathwise Stieltjes integrals of discontinuously evaluated stochastic processes.
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Analysis of large sparse graphs using regular decomposition of graph distance matrices.
- IEEE Big Data 2018.
- H Reittu, L Leskelä, T Räty, M Fiorucci
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Parameter estimators of sparse random intersection graphs with thinned communities.
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Moment-based parameter estimation in binomial random intersection graph models.
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The impact of degree variability on connectivity properties of large networks.
- Internet Mathematics 2017 / WAW 2015.
- L Leskelä, H Ngo.
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Conditional convex orders and measurable martingale couplings.
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Diclique clustering in a directed random graph.
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Information spreading in a large population of active transmitters and passive receivers.
- SIAM Journal on Applied Mathematics 2015.
- P Aalto, L Leskelä.
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Geometric juggling with q-analogues.
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Flow coupling and stochastic ordering of throughputs in linear networks.
- Valuetools 2014.
- L Leskelä.
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Hard-core thinnings of germ–grain models with power-law grain sizes.
- Advances in Applied Probability 2013.
- M Kuronen, L Leskelä.
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Stochastic order characterization of uniform integrability and tightness.
- Statistics & Probability Letters 2013.
- L Leskelä, M. Vihola
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Stability of a spatial polling system with greedy myopic service.
- Annals of Operations Research 2012.
- L Leskelä, F Unger.
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Juggler's exclusion process.
- Journal of Applied Probability 2012.
- L Leskelä, H Varpanen.
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A dilution test for the convergence of subseries of a monotone series.
- Journal of Classical Analysis 2012.
- L Leskelä, M Stenlund
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A local limit theorem for a transient chaotic walk in a frozen environment.
- Stochastic Processes and their Applications 2011.
- L Leskelä, M Stenlund.
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Interacting branching processes and linear file-sharing networks.
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Stochastic relations of random variables and processes.
- Journal of Theoretical Probability 2010.
- L Leskelä.
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Computational methods for stochastic relations and Markovian couplings.
- SMCTools 2009.
- L Leskelä.
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Stochastic bounds for two-layer loss systems.
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Stability of parallel queueing systems with coupled service rates.
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Scaling limits for random fields with long-range dependence.
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A tandem queueing network with feedback admission control.
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Stabilization of an overloaded queueing network using measurement-based admission control.
- Journal of Applied Probability 2006.
- L Leskelä.
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Does repacking improve performance of multiclass loss networks with overflow routing?
Theses
Posters
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Stochastic ordering of network throughputs using flow couplings.
(pdf)
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Stochastic relations of random variables and processes.
(pdf)
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Stability of parallel queueing systems with coupled service rates.
(pdf)
Software
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STOCHREL – A Matlab Stochastic Relations Package.
- Version 1.0 released 2008-10-01.