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.
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Pathwise Stieltjes integrals of discontinuously evaluated stochastic processes.
- Stochastic Processes and their Applications, to appear.
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Parameter estimators of sparse random intersection graphs with thinned communities.
- WAW 2018.
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Moment-based parameter estimation in binomial random intersection graph models.
- WAW 2017.
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The impact of degree variability on connectivity properties of large networks.
- Internet Mathematics 2017 / WAW 2015.
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Conditional convex orders and measurable martingale couplings.
- Bernoulli 2017.
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Diclique clustering in a directed random graph.
- WAW 2016.
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Information spreading in a large population of active transmitters and passive receivers.
- SIAM Journal on Applied Mathematics 2015.
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Geometric juggling with q-analogues.
- Discrete Mathematics 2015.
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Flow coupling and stochastic ordering of throughputs in linear networks.
- Valuetools 2014.
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Hard-core thinnings of germ–grain models with power-law grain sizes.
- Advances in Applied Probability 2013.
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Stochastic order characterization of uniform integrability and tightness.
- Statistics & Probability Letters 2013.
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Stability of a spatial polling system with greedy myopic service.
- Annals of Operations Research 2012.
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Juggler's exclusion process.
- Journal of Applied Probability 2012.
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A dilution test for the convergence of subseries of a monotone series.
- Journal of Classical Analysis 2012.
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A local limit theorem for a transient chaotic walk in a frozen environment.
- Stochastic Processes and their Applications 2011.
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Interacting branching processes and linear file-sharing networks.
- Advances in Applied Probability 2010.
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Stochastic relations of random variables and processes.
- Journal of Theoretical Probability 2010.
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Computational methods for stochastic relations and Markovian couplings.
- SMCTools 2009.
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Stochastic bounds for two-layer loss systems.
- Stochastic Models 2008.
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Stability of parallel queueing systems with coupled service rates.
- Discrete Event Dynamic Systems 2008.
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Scaling limits for random fields with long-range dependence.
- Annals of Probability 2007.
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A tandem queueing network with feedback admission control.
- NET-COOP 2007.
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Stabilization of an overloaded queueing network using measurement-based admission control.
- Journal of Applied Probability 2006.
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Does repacking improve performance of multiclass loss networks with overflow routing?
- ITC 2005
Theses
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Comparison and scaling methods for performance analysis of stochastic networks.
- D.Sc. thesis, Helsinki University of Technology, 2005.
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Implementing arithmetic for elliptic curve cryptosystems.
- M.Sc. thesis, Helsinki University of Technology, 1999.
Posters
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Stochastic ordering of network throughputs using flow couplings.
(pdf)
- 10th Stochastic Networks Conference, 18–22 June 2012, Massachusetts Institute of Technology, Cambridge, USA.
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Stochastic relations of random variables and processes.
(pdf)
- 8th Stochastic Networks Conference, 23–28 June 2008, École Normale Supérieure, Paris, France.
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Stability of parallel queueing systems with coupled service rates.
(pdf)
- BRICKS Midterm Symposium, 13 March 2007, Centrum Wiskunde & Informatica, Amsterdam, the Netherlands.
Software
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STOCHREL – A Matlab Stochastic Relations Package.
- Version 1.0 released 2008-10-01.