# Elsevier

# Stochastic Processes and their Applications

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### March 2000, Volume 86, Issue 1

**141-162 On a stochastic wave equation in two space dimensions: regularity of the solution and its density***by*Millet, Annie & Morien, Pierre-Luc**163-176 Rate of convergence of power-weighted Euclidean minimal spanning trees***by*Lee, Sungchul

### February 2000, Volume 85, Issue 2

**177-188 Reflected BSDEs and mixed game problem***by*Hamadène, S. & Lepeltier, J. -P.**189-207 Extremal behavior of the autoregressive process with ARCH(1) errors***by*Borkovec, Milan**209-223 Conditional maximal distributions of processes related to higher-order heat-type equations***by*Beghin, Luisa & Hochberg, Kenneth J. & Orsingher, Enzo**225-235 Large deviations for Brownian motion on the Sierpinski gasket***by*Arous, Gerard Ben & Kumagai, Takashi**237-247 Renewal equation on the whole line***by*Yengibarian, Norair B.**249-254 Embedding in Brownian motion with drift and the Azéma-Yor construction***by*Grandits, Peter & Falkner, Neil**255-277 Invariance principles for sums of extreme sequential order statistics attracted to Lévy processes***by*Janssen, Arnold**279-293 Large deviations for martingales via Cramér's method***by*Grama, Ion & Haeusler, Erich**295-320 Central limit theorems for k-nearest neighbour distances***by*Penrose, Mathew D.**321-339 Growth rates of sample covariances of stationary symmetric [alpha]-stable processes associated with null recurrent Markov chains***by*Resnick, Sidney & Samorodnitsky, Gennady & Xue, Fang**341-361 Geometric ergodicity of Metropolis algorithms***by*Jarner, Søren Fiig & Hansen, Ernst

### January 2000, Volume 85, Issue 1

**1-17 Almost sure behaviour of the perturbed Brownian motion on the Sierpinski gasket***by*Pietruska-Paluba, Katarzyna**19-28 Exact packing measure on a Galton-Watson tree***by*Liu, Quansheng**29-44 On Bahadur asymptotic efficiency of the maximum likelihood and quasi-maximum likelihood estimators in Gaussian stationary processes***by*Kakizawa, Yoshihide**45-60 On exponentials of additive functionals of Markov processes***by*Stummer, W. & Sturm, K. -Th.**61-74 Some calculations for doubly perturbed Brownian motion***by*Chaumont, L. & Doney, R. A.**75-92 Infinite horizon forward-backward stochastic differential equations***by*Peng, Shige & Shi, Yufeng**93-121 Large deviations for Poisson random measures and processes with independent increments***by*Léonard, C.**123-138 Asymptotics for weighted minimal spanning trees on random points***by*Yukich, J. E.**139-158 Equilibrium fluctuations for a driven tracer particle dynamics***by*Landim, Cláudio & Volchan, Sérgio B.**159-176 On the integral of the squared periodogram***by*Deo, Rohit S. & Chen, Willa W.

### December 1999, Volume 84, Issue 2

**177-186 A quasi-ergodic theorem for evanescent processes***by*Breyer, L. A. & Roberts, G. O.**187-225 Martingale solutions and invariant measures for stochastic evolution equations in Banach spaces***by*Brzezniak, Zdzislaw & Gatarek, Dariusz**227-253 Hydrodynamic limit for a nongradient system in infinite volume***by*Perrut, Anne**255-296 Large deviations and queueing networks: Methods for rate function identification***by*Atar, Rami & Dupuis, Paul**297-312 Hydrodynamic behavior of symmetric zero-range processes with random rates***by*Koukkous, A.**313-342 A new weak dependence condition and applications to moment inequalities***by*Doukhan, Paul & Louhichi, Sana**343-355 Sequential point estimation of parameters in a threshold AR(1) model***by*Lee, Sangyeol & Sriram, T. N.**357-369 Stationary and self-similar processes driven by Lévy processes***by*Barndorff-Nielsen, Ole E. & Pérez-Abreu, Victor

### November 1999, Volume 84, Issue 1

**1-24 Invariant measures for generalized Langevin equations in conuclear space***by*Bojdecki, Tomasz & Jakubowski, Jacek**25-51 The quasi-stationary distribution for small random perturbations of certain one-dimensional maps***by*Ramanan, Kavita & Zeitouni, Ofer**53-70 Large deviations for a Burgers'-type SPDE***by*Cardon-Weber, Caroline**71-80 Spectral decomposition for operator self-similar processes and their generalized domains of attraction***by*Meerschaert, Mark M. & Scheffler, Hans-Peter**81-90 Bootstrapping point processes with some applications***by*Zarepour, M. & Knight, K.**91-114 Non-Gaussian scenarios for the heat equation with singular initial conditions***by*Anh, V. V. & Leonenko, N. N.**115-135 Probabilistic Interpretation and Numerical Approximation of a Kac Equation without Cutoff***by*Desvillettes, Laurent & Graham, Carl & Méléard, Sylvie**137-164 Canonical decomposition of linear transformations of two independent Brownian motions motivated by models of insider trading***by*Föllmer, Hans & Wu, Ching-Tang & Yor, Marc**165-176 A Gaussian-generalized inverse Gaussian finite-dimensional filter***by*Ferrante, Marco & Vidoni, Paolo

### October 1999, Volume 83, Issue 2

**257-271 Extremes of a certain class of Gaussian processes***by*Hüsler, J. & Piterbarg, V.**273-288 Asymptotics for Voronoi tessellations on random samples***by*McGivney, K. & Yukich, J. E.**289-301 On exponential stability criteria of stochastic partial differential equations***by*Caraballo, Tomás & Liu, Kai**303-317 Existence and pathwise uniqueness of solutions for stochastic differential equations with respect to martingales in the plane***by*Liang, Zongxia**319-330 On the ruin probabilities in a general economic environment***by*Nyrhinen, Harri**331-356 Risk and duality in multidimensions***by*Blaszczyszyn, Bartlomiej & Sigman, Karl**357-400 Multi-type branching in varying environment***by*Biggins, J. D. & Cohn, H. & Nerman, O.

### September 1999, Volume 83, Issue 1

**1-14 The sample ACF of a simple bilinear process***by*Basrak, Bojan & Davis, Richard A. & Mikosch, Thomas**15-37 Differentiability of Markov semigroups for stochastic reaction-diffusion equations and applications to control***by*Cerrai, Sandra**39-59 Asymptotics and spectral results for random walks on p-adics***by*Albeverio, Sergio & Karwowski, Witold & Zhao, Xuelei**61-77 On local asymptotic normality for birth and death on a flow***by*Höpfner, R. & Löcherbach, E.**79-102 Detection of multiple changes in a sequence of dependent variables***by*Lavielle, Marc**103-126 Particle representations for a class of nonlinear SPDEs***by*Kurtz, Thomas G. & Xiong, Jie**127-138 Speed of -convergence for Markov approximations of chains with complete connections. A coupling approach***by*Bressaud, Xavier & Fernández, Roberto & Galves, Antonio**139-148 The law of the iterated logarithm for negatively associated random variables***by*Shao, Qi-Man & Su, Chun**149-169 Innovations algorithm for periodically stationary time series***by*Anderson, Paul L. & Meerschaert, Mark M. & Vecchia, Aldo V.**171-186 Optimal singular control strategies for controlling a process to a goal***by*McBeth, Douglas W. & Weerasinghe, Ananda P. N.**187-209 Two-parameter Bessel processes***by*Hirsch, Francis & Song, Shiqi**211-236 Some dichotomy results for functionals of Harris recurrent Markov chains***by*Chen, Xia**237-255 Sharp asymptotics for the multidimensional KPP equation***by*Cohen, Serge & Rossignol, Stéphane

### August 1999, Volume 82, Issue 2

**157-171 Strata of random mappings - A combinatorial approach***by*Drmota, Michael & Gittenberger, Bernhard**173-193 Local linear regression estimation for time series with long-range dependence***by*Masry, Elias & Mielniczuk, Jan**195-204 Asymptotically invariant sampling and averaging from stationary-like processes***by*Kallenberg, Olav**205-227 Signed Poisson approximations for Markov chains***by*Cekanavicius, V. & Mikalauskas, M.**229-244 Some limit theorems for fractional Lévy Brownian fields***by*Lin, Zheng Yan & Choi, Yong-Kab**245-257 Exponential stability in discrete-time filtering for non-ergodic signals***by*Budhiraja, A. & Ocone, D.**259-282 Comparison of systems of stochastic partial differential equations***by*Assing, Sigurd**283-292 An embedding for the Kesten-Spitzer random walk in random scenery***by*Csáki, Endre & König, Wolfgang & Shi, Zhan**293-305 Quadratic variation for Gaussian processes and application to time deformation***by*Perrin, Olivier**307-333 Stability of nonlinear AR(1) time series with delay***by*Cline, Daren B. H. & Pu, Huay-min H.**335-338 Corrigendum to "Stability in of martingales and backward equations under discretization of filtration": [Stochastic Processes and their Applications 75 (1998) 235-248]***by*Coquet, François & Mackevicius, Vigirdas & Mémin, Jean

### July 1999, Volume 82, Issue 1

**1-14 A note on branching Lévy processes***by*Kyprianou, A. E.**15-21 On tail probability of local times of Gaussian processes***by*Kasahara, Y. & Kôno, N. & Ogawa, T.**23-52 A comparison of homogenization and large deviations, with applications to wavefront propagation***by*Freidlin, Mark I. & Sowers, Richard B.**53-60 Singular-values of matrix-valued Ornstein-Uhlenbeck processes***by*Le, Huiling**61-87 Asymptotic properties of supercritical age-dependent branching processes and homogeneous branching random walks***by*Liu, Quansheng**89-125 Compound Poisson approximation in total variation***by*Barbour, A. D. & Utev, Sergey**127-142 Point processes with finite-dimensional conditional probabilities***by*Asmussen, Søren & Bladt, Mogens**143-155 Moment conditions for a sequence with negative drift to be uniformly bounded in Lr***by*Pemantle, Robin & Rosenthal, Jeffrey S.

### June 1999, Volume 81, Issue 2

**155-164 Transforming spatial point processes into Poisson processes***by*Schoenberg, Frederic**165-216 Martingale problems for large deviations of Markov processes***by*Feng, Jin**217-230 Limit theorem for the statistical solution of Burgers equation***by*Dermoune, A. & Hamadène, S. & Ouknine, Y.**231-246 Rosenthal's inequality for point process martingales***by*Wood, Andrew T. A.**247-254 Robustness of the nonlinear filter***by*Bhatt, Abhay G. & Kallianpur, G. & Karandikar, Rajeeva L.**255-269 Ruin problems with assets and liabilities of diffusion type***by*Norberg, Ragnar**271-298 Self-intersection local time of an -valued process involving motions of two types***by*Gorostiza, Luis G. & Todorova, Ekaterina**299-321 Differentiability of functionals of Poisson processes via coupling with applications to queueing theory***by*Baccelli, François & Hasenfuss, Sven & Schmidt, Volker**323-336 On functional limit theorems for solutions of stochastic equations***by*Makhno, Sergey Ya.**337-349 On the truncated anisotropic long-range percolation on***by*Sidoravicius, V. & Surgailis, D. & Vares, M. E.

### May 1999, Volume 81, Issue 1

**1-24 Small random perturbation of a classical mean field model***by*Toubol, Alain**25-38 Designing options given the risk: the optimal Skorokhod-embedding problem***by*Peskir, Goran**39-72 Large deviations for a stochastic Volterra-type equation in the Besov-Orlicz space***by*Djehiche, Boualem & Eddahbi, M'hamed**73-79 Spatial perturbations of one-dimensional spin systems***by*Handjani, Shirin J.**81-101 Convergence of weighted partial sums when the limiting distribution is not necessarily Radon***by*Csörgo, Miklós & Norvaisa, Rimas & Szyszkowicz, Barbara**103-128 Gaussian limit theorems for diffusion processes and an application***by*Conlon, Joseph G. & Song, Renming**129-153 How many probes are needed to compute the maximum of a random walk?***by*Chassaing, Philippe

### April 1999, Volume 80, Issue 2

**129-155 Rate of convergence of a convolution-type estimator of the marginal density of a MA(1) process***by*Saavedra, Ángeles & Cao, Ricardo**157-176 Moderate deviations for randomly perturbed dynamical systems***by*Klebaner, F. C. & Liptser, R.**177-191 A martingale approach for detecting the drift of a Wiener process***by*Paulsen, Volkert**193-209 Stability for multidimensional jump-diffusion processes***by*Wee, In-Suk**211-229 Bounds on regeneration times and convergence rates for Markov chains***by*Roberts, G. O. & Tweedie, R. L.**231-248 First passage time for some stationary processes***by*Haiman, George**249-269 Multifractal analysis of the occupation measures of a kind of stochastic processes***by*Hu, Xiaoyu

### March 1999, Volume 80, Issue 1

**1-24 Variance-type estimation of long memory***by*Giraitis, Liudas & Robinson, Peter M. & Surgailis, Donatas**25-53 Self-collisions of superprocesses: renormalization and limit theorems***by*Rosen, Jay**55-86 Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales***by*Bhattacharya, Rabi & Denker, Manfred & Goswami, Alok**87-101 Asymptotic theorems for urn models with nonhomogeneous generating matrices***by*Bai, Z. D. & Hu, Feifang**103-128 Two limit theorems for queueing systems around the convergence of stochastic integrals with respect to renewal processes***by*Yamada, Keigo

### February 1999, Volume 79, Issue 2

**179-184 Stabilization of partial differential equations by noise***by*Kwiecinska, Anna A.**185-212 Extremes of totally skewed [alpha]-stable processes***by*Albin, J. M. P.**213-227 On the regularity of spectral densities of continuous-time completely linearly regular processes***by*Murua, Alejandro**229-242 Large deviations formalism for multifractals***by*Zohar, Gady**243-263 Convergence rate of some semi-groups to their invariant probability***by*Ganidis, H. & Roynette, B. & Simonot, F.**265-286 Sampling at subexponential times, with queueing applications***by*Asmussen, Søren & Klüppelberg, Claudia & Sigman, Karl**287-300 A complex scaling approach to sequential Feynman integrals***by*Luo, S. L. & Yan, J. A.**301-321 Logarithmic estimates for the density of an anticipating stochastic differential equation***by*Sanz-Solé, Marta & Sarrà, Mònica**323-333 An identity in law involving reflecting Brownian motion, derived from generalized arc-sine laws for perturbed Brownian motions***by*Carmona, Philippe & Petit, Frédérique & Yor, Marc**335-354 The random cluster model on a general graph and a phase transition characterization of nonamenability***by*Jonasson, Johan

### January 1999, Volume 79, Issue 1

**1-15 Almost Gibbsian versus weakly Gibbsian measures***by*Maes, C. & Redig, F. & Moffaert, A. Van & Leuven, K. U.**17-43 Time and Palm stationarity of repairable systems***by*Last, Günter & Szekli, Ryszard**45-67 Stability of stochastic differential equations with Markovian switching***by*Mao, Xuerong**69-94 Spectral asymptotics of some functionals arising in statistical inference for SPDEs***by*Lototsky, Sergey V. & Rosovskii, Boris L.**95-107 Brownian motion on the Wiener sphere and the infinite-dimensional Ornstein-Uhlenbeck process***by*Cutland, Nigel J.**109-116 Asymptotics of power-weighted Euclidean functionals***by*Lee, Sungchul**117-134 Kac's moment formula and the Feynman-Kac formula for additive functionals of a Markov process***by*Fitzsimmons, P. J. & Pitman, Jim**135-163 Adaptive estimation in diffusion processes***by*Hoffmann, Marc**165-178 On the use of Lyapunov function methods in renewal theory***by*Konstantopoulos, Takis & Last, Günter

### November 1998, Volume 78, Issue 2

**131-143 An almost sure invariance principle for the range of random walks***by*Hamana, Yuji**145-154 Lower functions for the support of super-Brownian motion***by*Dhersin, Jean-Stéphane**155-171 A new proof for comparison theorems for stochastic differential inequalities with respect to semimartingales***by*Ding, Xiaodong & Wu, Rangquan**173-193 Exponential stability of non-linear stochastic evolution equations***by*Liu, Kai & Mao, Xuerong**195-216 Approximations for solutions of renewal-type equations***by*Politis, Konstadinos & Pitts, Susan M.**217-244 On the almost sure asymptotic behaviour of stochastic algorithms***by*Pelletier, Mariane**245-260 Partially observed control of a Markov jump process with counting observations: equivalence with the separated problem***by*Ceci, Claudia & Gerardi, Anna

### October 1998, Volume 78, Issue 1

**1-26 Symmetric infinitely divisible processes with sample paths in Orlicz spaces and absolute continuity of infinitely divisible processes***by*Braverman, Michael & Samorodnitsky, Gennady**27-46 Some liminf results for two-parameter processes***by*Csáki, Endre & Shi, Zhan**47-68 Hamiltonians on random walk trajectories***by*Ferrari, Pablo A. & Martínez, Servet**69-95 Large deviations for interacting particle systems: Applications to non-linear filtering***by*Moral, P. Del & Guionnet, A.**97-130 First passage times of general sequences of random vectors: A large deviations approach***by*Collamore, Jeffrey F.

### September 1998, Volume 77, Issue 2

**139-154 Asymptotic behaviour of a tagged particle in an inhomogeneous zero-range process***by*Siri, Paola**155-174 A limit theorem for symmetric statistics of Brownian particles***by*Budhiraja, A.**175-185 Stationary Markov processes related to stable Ornstein-Uhlenbeck processes and the additive coalescent***by*Evans, Steven N. & Pitman, Jim**187-205 Equilibrium fluctuations for zero range processes in random environment***by*Gielis, G. & Koukkous, A. & Landim, C.**207-232 Large deviations for the Fleming-Viot process with neutral mutation and selection***by*Dawson, Donald A. & Feng, Shui**233-251 Exponential approximations in completely regular topological spaces and extensions of Sanov's theorem***by*Eichelsbacher, Peter & Schmock, Uwe**253-281 Connections between optimal stopping and singular stochastic control***by*Boetius, Frederik & Kohlmann, Michael

### September 1998, Volume 77, Issue 1

**1-15 Backward-forward SDE's and stochastic differential games***by*Hamadène, S.**17-33 Fixed precision estimator of the offspring mean in branching processes***by*Shete, Sanjay & Sriram, T. N.**35-51 Logarithmic averages of stable random variables are asymptotically normal***by*Berkes, István & Horváth, Lajos & Khoshnevisan, Davar**53-67 On random perturbations of dynamical systems and diffusions with a Brownian potential in dimension one***by*Mathieu, Pierre**69-81 Finite dimensional filters for nonlinear stochastic difference equations with multiplicative noises***by*Ferrante, Marco & Vidoni, Paolo**83-98 Strict positivity for stochastic heat equations***by*Tessitore, Gianmario & Zabczyk, Jerzy**99-122 Gaussian likelihood-based inference for non-invertible MA(1) processes with SS noise***by*Davis, Richard A. & Mikosch, Thomas**123-137 Properties of distributions and correlation integrals for generalised versions of the logistic map***by*Hall, Peter & Wolff, Rodney Carl

### August 1998, Volume 76, Issue 2

**141-165 Exact parabolic asymptotics for singular -D Burgers' random fields: Gaussian approximation***by*Leonenko, N. N. & Woyczynski, W. A.**167-190 The homogenization problem for the Vicsek set***by*Hambly, B. M. & Metz, V.**191-215 Backward stochastic differential equations with subdifferential operator and related variational inequalities***by*Pardoux, Etienne & Rascanu, Aurel**217-230 Tolerance to arbitrage***by*Salopek, D. M.**231-250 A local time curiosity in random environment***by*Shi, Zhan**251-266 On duality and the Spitzer-Pollaczek factorization for random walks***by*Kennedy, J. E.

### August 1998, Volume 76, Issue 1

**1-32 Bounds for the expected number of level crossings of certain harmonizable infinitely divisible processes***by*Marcus, Michael B. & Shen, Kevin**33-44 Weak consistency of the Euler method for numerically solving stochastic differential equations with discontinuous coefficients***by*Chan, K. S. & Stramer, O.**45-60 Distribution tails of sample quantiles and subexponentiality***by*Braverman, Michael & Samorodnitsky, Gennady**61-75 The principle of large deviations for the almost everywhere central limit theorem***by*Heck, Matthias K.**77-97 Optimal trading strategy for an investor: the case of partial information***by*Lakner, Peter**99-115 On the convergence of parallel simulated annealing***by*Meise, Christian**117-139 Large deviation probabilities in estimation of Poisson random measures***by*Florens, Danielle & Pham, Huyên

### July 1998, Volume 75, Issue 2

**149-172 Selecting the optimal sample fraction in univariate extreme value estimation***by*Drees, Holger & Kaufmann, Edgar**173-201 Nonlinear self-stabilizing processes - I Existence, invariant probability, propagation of chaos***by*Benachour, S. & Roynette, B. & Talay, D. & Vallois, P.**203-224 Nonlinear self-stabilizing processes - II: Convergence to invariant probability***by*Benachour, S. & Roynette, B. & Vallois, P.**225-234 A note on the integrated square errors of kernel density estimators under random censorship***by*Zhang, Biao**235-248 Stability in of martingales and backward equations under discretization of filtration***by*Coquet, François & Mackevicius, Vigirdas & Mémin, Jean**249-261 Logarithmic multifractal spectrum of stable occupation measure***by*Shieh, Narn-Rueih & Taylor, S. James**263-286 Additional logarithmic utility of an insider***by*Amendinger, Jürgen & Imkeller, Peter & Schweizer, Martin

### June 1998, Volume 75, Issue 1

**1-30 Stability results for a general class of interacting point processes dynamics, and applications***by*Massoulié, Laurent**31-49 Identification of filtered white noises***by*Benassi, Albert & Cohen, Serge & Istas, Jacques & Jaffard, Stéphane**51-65 Self-normalized moderate deviations and lils***by*Dembo, Amir & Shao, Qi-Man**67-87 The equation of symmetric Markovian random evolution in a plane***by*Kolesnik, Alexander D. & Turbin, Anatoly F.**89-104 Large deviations in the van der Waals limit***by*Benois, O. & Bodineau, T. & Presutti, E.**105-133 Lindley-type equations in the branching random walk***by*Biggins, J. D.**135-148 Sharp conditions for certain ruin in a risk process with stochastic return on investments***by*Paulsen, Jostein

### June 1998, Volume 74, Issue 2

**151-164 Independent sampling of a stochastic process***by*Glynn, Peter & Sigman, Karl**165-193 The parametrix method approach to diffusions in a turbulent Gaussian environment***by*Komorowski, Tomasz**195-201 A Palm calculus approach to functional versions of Little's law***by*Zazanis, Michael A**203-215 Spectral expansion of the occupation measure for birth and death on a flow***by*Kao, John & Cinlar, Erhan**217-234 Estimates of Dirichlet heat kernels***by*Wang, Feng-Yu**235-250 Hausdorff dimensions of random net fractals***by*Liang, Jin-Rong & Ren, Fu-Yao**251-272 Hausdorff-type measures of the sample paths of fractional Brownian motion***by*Xiao, Yimin**273-296 Moderate and large deviations for U-processes***by*Eichelsbacher, Peter

### May 1998, Volume 74, Issue 1

**1-19 Strassen's law of the iterated logarithm for diffusion processes for small time***by*Caramellino, Lucia**21-36 Parabolic SPDEs driven by Poisson white noise***by*Albeverio, Sergio & Wu, Jiang-Lun & Zhang, Tu-Sheng**37-52 Markov chains with marked transitions***by*He, Qi-Ming & Neuts, Marcel F.**53-65 A lower bound on the box-counting dimension of crossings in fractal percolation***by*Orzechowski, M. E.**67-82 The heat equation with Lévy noise***by*Mueller, Carl**83-88 Non-Gibbsianness of the reduced SOS-measure***by*Lorinczi, József**89-121 A law of the iterated logarithm for stable processes in random scenery***by*Khoshnevisan, Davar & Lewis, Thomas M.**123-131 Distribution of the occupation time for a Lévy process at passage times at 0***by*Marchal, Philippe**133-149 The average density of the path of planar Brownian motion***by*Mörters, Peter

### March 1998, Volume 73, Issue 2

**151-172 On the recursive parameter estimation in the general discrete time statistical model***by*Sharia, Teo**173-193 Exponential rate of convergence of an infinite neuron model with local connections***by*Turova, Tatyana S.