"Basically, I'm not interested in doing research and I never have been.
I'm interested in understanding, which is quite a different thing.
And often to understand something you have to work it out yourself
because no one else has done it."
David Blackwell (19192010); Interview in Mathematical People, 1983. 
© notice: copyright belongs to the publisher in most cases;
the author asserts copyright in all other cases;
linked documents are not exact replicas of published ones
in that they may contain small errors and typos.

PhD students:
Katja Gabrysch (nee Trinajstic) (PhD Dec. 2016), coadvised with Svante Janson Beatriz Villarroel (PhD Jan. 2017), coadvised with Andreas Korn 
If you can't find a copy of a paper below, go to my old page or send me email. I'm still not in the mood of updating this. Too much hassle.
Selected writings

On the extendibility of finitely exchangeable probability measures.
(revised).
With Linglong Yuan, 2016. 
A probabilistic interpretation of the Gaussian binomial coefficients.
With Linglong Yuan, 2016. 
Power law condition for stability of Poisson hail.
With Sergey Foss and Tom Mountford.
J. Theor. Probab., 2016 
A direct proof of the finite exchangeability representation theorem.
With Svante Janson and Linglong Yuan.
J. Math. Anal. Appl. 442, no. 2, 703714, 2016. 
Clausen's problem and triangular lattices.
With Joe Higgins. 
Polynomial approximations to continuous functions
and stochastic compositions.
With Linglong Yuan and Michael Zazanis, January 2016. 
A review of Burke's theorem for Brownian motion.
Queueing Systems 83, No. 12, 112, 2016. 
Laplace transform asymptotics
and large deviation principles for longest success runs in Bernoulli trials.
With Zhenxia Liu and Xiangfeng Yang
J. Appl. Prob., to appear. 
Runs in coin tossing: a general approach for deriving distributions for functionals.
With Lars Holst.
Journal of Applied Probability 52, No. 3, 752770. 
The mobile Boolean model: an overview and further results. July 2013.

Convergence to the TracyWidom distribution for longest paths in a directed
random graph.
With Katja Trinajstić.
Alea 10(2), 699718, 2013. 
A multilinear algebra proof of the CauchyBinet formula
and a multilinear version of Parseval's identity.
Linear Algebra and its Applications 439, 26512658, 2013. 
Iterating Brownian motions, ad libitum.
With Nicolas Curien.
J. Theor. Prob., 27, 433448, 2012. 
Limit theorems for a random directed slab graph.
With Denis Denisov and Serguei Foss.
Annals of Applied Probability, 702733, 2011. 
On the excursions of reflected local time processes.
With Andreas Kyprianou and Paavo Salminen.
To appear in the Advances in Applied Probability 2011? 
Integral representation of Skorokhod reflection.
With Venkat Anantharam.
To appear in the Proc. Amer. Math. Soc. 139, No. 6, 22272237, 2011. 
Stationary flows and uniqueness of invariant measures.
With François Baccelli.
Quart. Appl. Math. 68, No. 2, 213228, 2010. 
A stochastic epidemiological model and a deterministic limit for
BitTorrentlike peertopeer filesharing networks.
With George Kesidis and Perla Sousi.
Springer Lecture Notes in Computer Science 5425, 2636, 2009.
Full version here: http://arxiv.org/abs/0811.1003. 
Analysis of stochastic fluid queues driven by local time processes.
With Andreas Kyprianou, Marina Sirviö and Paavo Salminen.
Advances in Applied Probability 40, 10721103, 2008. 
A note on the convergence of renewal and regenerative processes to
a Brownian bridge.
With Serguei Foss.
arXiv:0708.3667v1, 2007. 
The principle of a single big jump: discrete and continuous time
modulated random walks with heavytailed increments.
With Serguei Foss, and Stan Zachary.
J. Theor. Prob. 20, 581612, 2007. 
Regulating functions on partially ordered sets.
With Venkat Anantharam.
Order 22, 145183, 2005. 
Multiaccess interference process is selfsimilar
in multimedia CDMA cellular networks.
With Junshan Zhang.
IEEE Transactions on Information Theory 51, no.3, 10241038, 2005. 
An overview of some stochastic stability methods.
With Serguei Foss.
Journal of the Operations Research Society of Japan 47, no. 4, 275303, 2004. 
Convergence and convergence rate to fractional Brownian motion
for weighted random sums.
With Alexander Sakhanenko.
Siberian Electronic Mathematical Reports 1, 4763, 2004. 
Nonproduct form and tail asymptotics for a class of
Lévy stochastic networks.
With Günter Last and SiJian Lin.
Queueing Systems 46, no. 34, 409437, 2004.  Extended renovation theory and
limit theorems for stochastic ordered graphs.
With Serguei Foss.
Markov Processes and Related Fields 9, 413468, 2003. 
Dynamic capacity resizing for fair bandwidth sharing in
virtual private networks.
With Seung Hyong Rhee.
Transactions of the Institute of Electronics, Information and Communication Engineers (IEICE) of Japan E86B, No.5, 16251631, 2003. 
Conditional limit theorems for spectrally positive Lévy
processes.
With Greg Richardson.
Advances in Applied Probability 34, 158178, 2002. 
Achieving maxmin fairness by decentralization for the ABR
traffic control in ATM networks.
With Seung Hyong Rhee.
Trans. Inst. Electronics, Information and Communication Engineers (IEICE) of Japan E84B, No.8, 22492255, 2001. 
Stability and performance analysis of networks supporting
elastic services.
With Gustavo de Veciana and T.J. Lee.
IEEE/ACM Transactions on Networking 9, No. 1, 214, 2001. 
On the dynamics and performance of stochastic fluid systems.
Konstantopoulos, T. and Last, G. Journal of Applied Probability 37, 652667, 2000. 
Extremal shapecontrolled traffic patterns in highspeed networks.
Kesidis, G. and Konstantopoulos, T. IEEE Transactions on Communications 48, 813819, 2000. 
Worstcase performance of a buffer with
independent shaped arrival processes.
Kesidis, G. and Konstantopoulos, T. IEEE Communications Letters 4, 2628, 2000.  The Skorokhod reflection problem for functions with discontinuities (contractive case). Written in 1999 (not yet submitted).

Decentralized optimal flow control with constrained rates.
Rhee, S.H. and Konstantopoulos, T. IEEE Communications Letters 3, 188190, 1999. 
A correction and some additional remarks on:
"stationary solutions of stochastic recursions describing
discrete event systems".
Anantharam, V. and Konstantopoulos, T. Stochastic Processes and their Applications 80, 271278, 1999. 
On the use of Lyapunov function methods in renewal theory.
Konstantopoulos, T. and Last, G. Stochastic Processes and their Applications 79, 165178, 1999. 
A methodology for the design of optimal traffic shapers
in communication networks.
Anantharam, V. and Konstantopoulos, T. IEEE Transactions on Automatic Control 44, 583586, 1999. 
Macroscopic models for longrange dependent network traffic.
Konstantopoulos, T. and Lin, S.J. Queueing Systems 13, 215243, 1988. 
Stationary solutions of stochastic recursions
describing discrete event systems.
Anantharam, V. and Konstantopoulos, T. Stochastic Processes and their Applications 68, 181194, 1997. 
Conservation laws and reflection mappings
with an application to multiclass mean value analysis
for stochastic fluid queues (extended version).
Konstantopoulos, T., Zazanis, M. and de Veciana, G. Stochastic Processes and their Applications 65, No. 1, 139146, 1997. 
A local proof of the Swiss army formula of Palm calculus.
Konstantopoulos, T. Journal of Applied Probability 33, No. 3, 909919, 1996. 
Optimal flow control schemes that regulate
the burstiness of traffic: extended version >
published version.
Konstantopoulos, T. and Anantharam, V. IEEE/ACM Transactions on Networking 3, 423432, 1995. 
Ballot theorems revisited.
Konstantopoulos, T. Statistics Prob. Letters 24, 331338, 1995. 
A discrete time proof of Neveu's exchange formula.
Konstantopoulos, T. and Zazanis, M. Journal of Applied Probability 32, 917921, 1995. 
A functional central limit theorem for the jump counts
of Markov processes with an application to Jackson networks.
Anantharam, V. and Konstantopoulos, T. Journal of Applied Probability 27, 476509, 1995. 
Functional approximation theorems for controlled
renewal processes.
Konstantopoulos, T., Papadakis, S. and Walrand, J. Journal of Applied Probability 31, 765776, 1994. 
Burst reduction properties of the leaky bucket
flow control scheme in ATM networks.
Anantharam, V. and Konstantopoulos, T. IEEE Transactions on Communications 42, 30853089, 1994. 
Sensitivity analysis for stationary and
ergodic queues  additional results.
Konstantopoulos, T. and Zazanis, M. Advances in Applied Probability 26, 556560, 1994. 
Stability, monotonicity and invariant
quantities in general polling systems.
Altman, E., Konstantopoulos, T. and Liu, Z. Queueing Systems 11, 3557, 1992. 
Sensitivity analysis for stationary and ergodic queues.
Konstantopoulos, T. and Zazanis, M. Journal of Applied Probability 24, 738750, 1992. 
On the cutoff phenomenon in some queueing systems.
Konstantopoulos, T. and Baccelli, F. Journal of Applied Probability 28, 683694, 1991. 
Stabilizing an uncertain production system.
Courcoubetis, C., Konstantopoulos, T., Walrand, J. and Weber, R. Queueing Systems 5, 3754, 1990. 
On the ergodicity of networks of
•/GI/1/N queues.
Konstantopoulos, T. and Walrand, J. Advances in Applied Probability 5, 263267, 1990. 
Stationarity and stability of forkjoin networks.
Konstantopoulos, T. and Walrand, J. Journal of Applied Probability 26, 604614, 1989. 
A quasireversibility approach to the insensitivity
of generalized semiMarkov processes.
Konstantopoulos, T. and Walrand, J. Prob. Eng. Inform. Sciences 3, 405415, 1989. 
On the intensity of crossings by a shot noise process.
Konstantopoulos, T. Advances in Applied Probability 21, 473474, 1989. 
On the weak convergence of stochastic processes
with embedded point processes.
Konstantopoulos, T. and Walrand, J. Advances in Applied Probability 20, 473475, 1988. 
Optimal congestion control in single destination networks.
Stassinopoulos, G.I. and Konstantopoulos, T. IEEE Transactions on Communications 33, 792800, 1985.