publications

List of publications

Monographs and edited publications

Probability Measures on Semigroups. Convolution Products, Random Walks, and Random Matrices , 400 pp., Plenum Press , New York 1995. (with Arunava Mukherjea) Second ed., xii + 430 pp., Springer, New York 2011.

(Editor with H.Niemi, A.N.Melnikov and A.N.Shiryaev:) Proceedings of the Third Finnish-Soviet Symposium on Probability Theory and Mathematical Statistics Frontiers in Pure and Applied Probability 1, VSP, Utrecht-Tokyo and TVP Science Publishers, Moscow 1993.

(Guest Editor) Special issue on Stochastic Difference Equations, Journal of Difference Equations and Applications 18, No. 8, August 2012.

Articles in refereed journals

Introduction. Special issue on stochastic difference equations, Journal of Difference Equations and Applications 18 (2012), 1263-1265

Analysis of a stochastic difference equation: Exit times and invariant distributions. Fasc. Math. 44 (2010), 69 - 74 (with Brita Jung)

Convolution products of probability measures on a compact semigroup with applications to random measures. In: Algebraic Methods in Statistics and Probability II , Contemporary Mathematics, vol. 516, Amer. Math. Soc., Providence, RI (2010), 93 - 98 (with Gregory Budzban)

Evaluating and extending the Lee-Carter model for mortality forecasting: Bootstrap confidence interval, Insurance: Mathematics and Economics 38 (2006), 1 - 20 (with Marie-Claire Koissi and Arnold F. Shapiro)

Products of IID random nonnegative matrices: their skeletons and convergence in distribution, Sankhya 67 (2005), 615 - 633 (with Arunava Mukherjea)

Asymptotic properties of a TCP model with time-outs, Discrete and Continuous Dynamical Systems-B 5 (2005), 543 - 564 (with Niclas Carlsson)

Population extinction in discrete-time stochastic population models with an Allee effect, Journal of Difference Equations and Applications 11 (2005), 273 - 293 (with Linda J. S. Allen, Jesse F. Fagan and Henrik Fagerholm)

Quasi-stationary behavior in a simple discrete-time model. In: Branching Processes: Variation, Growth, and Extinction of Populations (P. Haccou, P. Jagers and V. Vatutin, Eds.), Cambridge University Press (2005), 198 - 211.

Using WinBUGS to Study Family Frailty in Child Mortality, with an Application to Child Survival in Ivory Coast, African Population Studies 20 (2005), 1 - 17 (with Marie-Claire Koissi)

Maximal homomorphic group image and convergence of convolution sequences on a semigroup, Journal of Theoretical Probability 16 (2003), 847 - 854. (with Arunava Mukherjea)

Stability classification of a Ricker model with two random parameters, Advances in Applied Probability 34 (2002), 112 - 127. (with Henrik Fagerholm)

On some one-dimensional stochastic population models. In: "Probability on Algebraic Structures" (G. Budzban, Ph. Feinsilver and A. Mukherjea, Eds.), Contemporary Mathematics 261, American Mathematical Society 2000, 209 - 220.

An equioscillation characterization of finite Blaschke products, Complex Variables: Theory and Application 42 (2000), pp. 107 - 118. (with Christer Glader)

Quasi-stationary distributions for a stochastic Ricker model, Stochastic Processes and their Applications 70 (1997), pp. 243 - 263. Abstract ,

A unifying framework for chaos and stochastic stability in discrete population models, J. Math. Biology 35 (1997), pp. 557 - 588. (with M. H. Vellekoop)

Stability of stochastic population models, Studia Scientiarum Mathematicarum Hungarica 33 (1997), pp. 459 - 476. (with M. H. Vellekoop)

Convergence in direction of products of random matrices, Theory of Stochastic Processes 2 (18) (1996), pp. 150 - 155. (with Arunava Mukherjea) Abstract

A mixed random walk on nonnegative matrices: a law of large numbers, J. Theoretical Probability 8 (1995), pp. 973 - 990. (with Arunava Mukherjea)

Population models with environmental stochasticity, J. Math. Biology 32 (1994), 93 - 108. (with Mats Gyllenberg and Timo Koski )

Sequences of random transformations (in Russian), Teorija verojatnostej i ee primenenija 37 (1992), 113 - 120. English version in Theory Prob. Appl. 37 (1993), 54 - 60.

Approximation of delay systems - a case study, Int. J. Control 53 (1991), 369 - 390 (with Christer Glader, Pertti M. Mäkilä and Hannu T.Toivonen).

A note on products of random matrices. Statistics & Probability Letters 5 (1987), 367 - 370.

Markov random walks on groups, Math. Scand. 58 (1986), 35 - 45.

Comparison of some non-linear autoregressive processes, Journal of Time Series Analysis 7 (1986), 205 - 211.

Hur ofta är avvikelsen mindre än standardavvikelsen - ett sannolikhetsteoretiskt extremvärdesproblem, Nordisk Matematisk Tidskrift 33 (1985), 30 - 34.

On the limit of the average of the values of a function at random points i Probability Measures on Groups VII (H.Heyer, ed.), Lecture Notes in Mathematics 1064 , Springer-Verlag 1984, 204 - 218 (with Arunava Mukherjea).

Recurrent random walks and invariant measures on semigroups of $n \times n$ matrices, Math. Z. 173 (1980), 69 - 94 (with Arunava Mukherjea).

On random walks with continuous components, Semigroup Forum 17 (1979), 75 - 93.

On recurrent random walks on abelian semigroups, Proc. Amer. Math. Soc. 75 (1979), 111 - 113.

A note on the product of random elements of a semigroup, Monatsh. Math. 85 (1978), 317 - 321.

Random semigroup acts on a finite set, J. Australian Math. Soc. 23 (Series A) (1977), 481 - 498.

Characterization of weak convergence of signed measures on [0,1] Math.Scand. 4 (1977), 175 - 184.

Remarques sur les marches aléatoires dans un demi-groupe avec un idéal compact ayant probabilité positive, Ann. Inst. Henri Poincaré, Sect. B 10 (1974), 345 - 354.

Marches aléatoires sur un demi-groupe compact, Ann. Inst. Henri Poincaré, Sect. B 10 (1974), 115 - 154. (Doctoral thesis).

Proceedings and survey articles

A simple mathematical model for the broke handling system. In: New Information Technologies in Pulp and Paper and Energy Industry, Conference papers, Petrozavodsk State University, Petrozavodsk 2000, 34 - 35. (with Göran Gros)

De stora talens lag, SPHINX Societas Scientiarum Fennica Yearbook 1998 - 1999, 29 - 35.

Matematik, in S.Widén (ed.): Åbo Akademi 1918 - 1993: forskning och institutioner 4, Åbo Akademis förlag, Åbo 1993, p. 107 - 120. (with B.Sjöberg)

Mathematics, in S.Widén (ed.): Åbo Akademi University 1918 - 1993: Research and Departments, English Summaries Åbo Akademi University Press, Åbo 1993, p. 79 - 80. (with B.Sjöberg)

Null recurrence in a stochastic Ricker model. In: Analysis, Algebra, and Computers in Mathematical Research, Proceedings of the Twenty-first Nordic Congress of Mathematicians, (Mats Gyllenberg and Lars Erik Persson, Eds.), Lecture Notes in Pure and Applied Mathematics 156, Marcel Dekker 1994, pp. 147 - 164. (with Mats Gyllenberg and Timo Koski)

Invariant measures and random walks on the semigroup of matrices i Markov Processes and Control Theory (H.Langer & V.Nollau, eds.), Mathematical Research 54, Akademie-Verlag Berlin 1989, 77 - 84.

A note on the semigroup of analytic mappings with a common fixed point i Probability Measures on Groups IX (H. Heyer, ed.), Lecture Notes in Mathematics 1379, Springer-Verlag 1989, 135 - 140.

Random walks on semigroups of matrices, Abstracts of the 18th Scandinavian Congress of Mathematicians, Aarhus Universitet, Matematisk Institut, Various Publications Series 33 (June 1980), 26 - 27 (with Arunava Mukherjea).

Marche aléatoire sur un demi-groupe de matrices $n\times n$, Séminaire de probabilités, Rennes 1978, 11 s.

Marches aléatoires récurrentes sur les demi-groupes localement compacts, Ann. Sci. Univ. Clermont. 65 (1977), 96 - 102.

Random walks on compact semigroups, Adv. Appl. Probability 8 (1976), 231 - 232.

Textbook

Numerisk och diskret matematik Second edition. With an appendix by Christer Glader. Sigma vid Åbo Akademi 1989. (First ed. 1986) vii $+$ 164 s. (with Sten Bjon, Timo Koski, Paul Lindholm and Paavo Salminen).

Selected other articles, reports, preprints and reviews

Competition and invasion in stochastic population models, Åbo Akademi Reports on Computer Science and Mathematics, Ser.A , no. 191, March 2007. 27 pp. (with Henrik Fagerholm and Mats Gyllenberg)

Bootstrap confidence interval of life expectancy forecasted with the Lee-Carter method, Åbo Akademi Reports on Computer Science and Mathematics, Ser.A , no. 190, October 2004, 19 pp. (with Marie Claire Koissi)

Criteria for stability of density dependent stochastic population models, Åbo Akademi Reports on Computer Science and Mathematics, Ser.A , no. 187, March 2003. 48 pp. (with Henrik Fagerholm)

A Markov model for the broke handling system of a paper machine, Åbo Akademi Reports on Computer Science and Mathematics, Ser.A , no. 186, April 2002. 15 pp. (with Göran Gros)

Asymptotic properties of a simple TCP model, Åbo Akademi Reports on Computer Science and Mathematics, Ser.A, no. 184, January 2002. 20 pp. (with Niclas Carlsson)

Analysis and dimensioning of the broke system, an important part of stock preparation, manuscript, (with Göran Gros)

"Ett i sanning underbart bevis, men marginalen är för trång för att rymma det" - En kommentar kring Fermats gåta. [Review of Simon Singh: Fermats gåta Norstedts 1998.] in Finsk Tidskrift 2/1999, 110 - 115.

Review of Howell Tong: Nonlinear Time Series. A Dynamical System Approach, Oxford 1990, in Metrika 41 (1994), 65 - 66.

Sensationell matematik - matematiken går över nyhetströskeln, Arkhimedes 44 nr 1 (1992), 3 - 7.

Nonlinear autoregressive processes, Rapporter från Åbo Akademi: Informationsbehandling och matematik, Ser.A, no.74, March 1989.

Recurrence and transience of correlated random walks, Acta Acad.Aboensis, ser. B 44 nr 4 (1984), 5 pp.

On products of random projections, Acta Acad.Aboensis, ser. B 44 nr 5 (1984), 18 pp.

Om stationära fördelningen för icke-linjära autoregressiva processer. Rapporter från Åbo Akademi: Informationsbehandling och Matematik, Ser B, No 4 1984, 20 pp.

Measures on the semigroup of singular matrices, Rapporter från Åbo Akademi: Informationsbehandling och Matematik, Ser A, No 20 1982, 4 pp.

Review of Mukherjea-Tserpes: Measures on topological semigroups, Jber. Deutsch. Math.-Verein. Band 80, Heft 4.

On random walks with continuous components, Aarhus Universitet, Matematisk Institut, Preprint Series 1976/77 26, 60 pp.

An ergodic random walk on a compact semigroup, Acta Acad. Aboensis, ser. B 33, nr 9 (1973), 5 pp.

A note on random walks on a compact semigroup, Acta Acad. Aboensis, ser. B 33, nr 10 (1973), 8 pp.