Ingemar Kaj
Professor at Matematiska institutionen; Sannolikhetsteori och kombinatorik
- Telephone:
- +46 18 471 32 87
- Mobile phone:
- +46 70 167 93 43
- E-mail:
- Ingemar.Kaj@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480
751 06 UPPSALA
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Short presentation
Research program: Analysis and probability theory/ Professor in mathematical statistics
Research interests: Stochastic processes, stochastic dynamics, random fields, long-range dependence, interacting systems, stochastic models in genetics and evolutionary biology and other application areas.
UPMARC: Chairman of the Board
eSSENCE a national collaboration in e-science: Chair of the Program Council 2011-2015
Publications
Recent publications
- Synchronization in a self-exciting buffer model (2022)
- A Nearly Neutral Model of Molecular Signatures of Natural Selection after Change in Population Size (2022)
- Analysis of diversity-dependent species evolution using concepts in population genetics (2021)
- Polymorphism Data Assist Estimation of the Nonsynonymous over Synonymous Fixation Rate Ratio omega for Closely Related Species (2020)
- Stochastic equations and limit results for some two-type branching models (2019)
All publications
Articles
- Synchronization in a self-exciting buffer model (2022)
- A Nearly Neutral Model of Molecular Signatures of Natural Selection after Change in Population Size (2022)
- Analysis of diversity-dependent species evolution using concepts in population genetics (2021)
- Polymorphism Data Assist Estimation of the Nonsynonymous over Synonymous Fixation Rate Ratio omega for Closely Related Species (2020)
- Stochastic equations and limit results for some two-type branching models (2019)
- Modeling a trait-dependent diversification process coupled with molecular evolution on a random species tree (2019)
- Positive selection on human gamete-recognition genes (2018)
- Predicting pathogenicity behavior in Escherichia coli population through a state dependent model and TRS profiling (2018)
- Using the Ornstein-Uhlenbeck process to model the evolution of interacting populations (2017)
- Selection on coevolving human gamete recognition genes (2016)
- Modeling battery cells under discharge using kinetic and stochastic battery models (2016)
- The non-equilibrium allele frequency spectrum in a Poisson random field framework (2016)
- Why Time Matters (2014)
- Moment measures of heavy-tailed renewal point processes (2013)
- The on-off network traffic model under intermediate scaling (2011)
- Self-similar Random Fields and Rescaled Random Balls Models (2010)
- Self-similar random fields and rescaled random balls models (2010)
- Scaling limits for random fields with long-range dependence (2007)
- On the meaning and existence of an effective population size. (2005)
- On the meaning and existence of an effective population size. (2005)
- On the meaning and existence of an effectve population size (2005)
- Convergence of scaled renewal processes and a packet arrival model (2003)
- The coalescent process in a population of stochastically varying size (2003)
- Modelling the arrival process for packet audio (2003)
- Coalescent theory for seed bank models (2001)
- A scaling limit process for the age-reproduction structure in a Markov population (2000)
- A sample path large deviation principle for L^2-martingale measure processes (1999)
- Probability of identity by descent in metapopulations (1999)
- Limit processes for age-dependent branching particle systems (1998)
- Superprocess approximation for a spatially homogeneous branching walk (1997)
- A Schilder type theorem for super-Brownian motion (1996)
- The rate function for some measure-valued jump processes (1995)
- Ultimate value of local time of one-dimensional super-Brownian motion (1995)
- On a first passage problem for branching Brownian motions (1993)
- Positive global solutions of a nonhomogeneous semilinear elliptic equation (1991)
- Time reversal and stationarity of infinite-dimensional Markov birth-and-death processes. (1988)
- Gaussian processes, bridges and membranes extracted from selfsimilar random fields
- Using multitype branching models to analyze bacterial pathogenicity
Books
Chapters
- Convergence to fractional Brownian motion and to the Telecom process (2008)
- Limiting fractal random processes in heavy-tailed systems (2005)
- A weak interaction epidemic among diffusing particles (1995)
Conferences
- Analytical and stochastic modelling of battery cell dynamics (2012)
- Analytical and stochastic modeling of battery cell dynamics (2012)
- Probabilistic analysis of hierarchical cluster protocols for wireless sensor networks (2009)
Reports
- Self-similar random fields and rescaled random balls models (2007)
- Propagation properties for a message in a Brownian sensor network (2006)
- A growth model for Brownian sensors (2006)
- Scaling limit results for the sum of many inverse Lévy subordinators (2004)
- Throughput modeling and simulation for single connection TCP-Tahoe (2001)
