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# Forthcoming Papers

### Journal of Applied Probability

###
**Research Papers **

**Research Papers**HANSJÖRG ALBRECHER, ONNO J. BOXMA AND JEVGENIJS IVANOVS. On simple ruin expressions in dependent Sparre Andersen risk models

LUIS H. R. ALVAREZ AND PEKKA MATOMÄKI. Optimal stopping of the maximum process

D. ARISTOFF. Percolation of hard disks

S. ASHRAFI AND M. ASADI. Dynamic reliability modeling of three-state networks

S. ASMUSSEN AND S. FOSS. On exceedance times for some processes with dependent increments

GOLSHID BAHARIAN AND SHELDON H. JACOBSON. Limiting behavior of the target-dependent stochastic sequential assignment problem

N. BALAKRISHNAN AND WILLIAM VOLTERMAN. On the signatures of ordered system lifetimes

NARAYANASWAMY BALAKRISHNAN, GHOBAD BARMALZAN AND ABEDIN HAIDARI. Stochastic orderings and ageing properties of residual life-lengths of live components in (

*n-k+1*)-out-of-*n*systemsANTAR BANDYOPADHYAY AND FARKHONDEH SAJADI. On the nearest neighbor algorithm for the mean field traveling salesman problem

JIANHAI BAO AND CHENGGUI YUAN. Numerical approximation of stationary distributions for stochastic partial differential equations

LUISA BEGHIN AND CLAUDIO MACCI. Fractional discrete processes: compound and mixed Poisson representations

FABIO BELLINI, FRANCO PELLEREY, CARLO SGARRA AND SALIMEH YASAEI SEKEH. Comparison results for GARCH processes

FABIO BELLINI, FRANCO PELLEREY, CARLO SGARRA AND SALIMEH YASAEI SEKEH. Comparison results for GARCH processes

ROMAIN BIARD AND BRUNO SAUSSEREAU. Fractional Poisson process: long-range dependence and applications in ruin theory

JAKOB E. BJÖRNBERG AND ERIK I. BROMAN. Coexistence and non-coexistence of Markovian viruses and their hosts

J. E. BJÖRNBERG, T. BRITTON, E. I. BROMAN AND E. NATAN. A stochastic model for virus growth in a cell population

K. BOROVKOV, G. DECROUEZ AND M. GILSON. On stationary distributions of stochastic neural networks

K. BOROVKOV, G. DECROUEZ AND M. GILSON. On stationary distributions of stochastic neural networks

M. V. BOUTSIKAS, D. L. ANTZOULAKOS AND A. C. RAKITZIS. On the joint distribution of stopping times and stopped sums in multistate exchangeable trials

RICHARD C. BRADLEY. On a `replicating character string' model

BRUNO BUONAGUIDI AND PIETRO MULIERE. On the disorder problem for a negative binomial process

BRUNO BUONAGUIDI AND PIETRO MULIERE. On the disorder problem for a negative binomial process

MASSIMO CAMPANINO AND DIMITRI PETRITIS. Type transition of simple random walks on randomly directed regular lattices

JI HWAN CHA AND MAXIM FINKELSTEIN. Stochastic modeling for environmental stress screening

ANYUE CHEN, KAI WANG NG AND HANJUN ZHANG. Uniqueness and decay properties of Markov branching processes with disaster

ANYUE CHEN, JUNPING LI, YIQING CHEN AND DINGXUAN ZHOU. Asymptotic behaviour of extinction probability of interacting branching collision processes

MAY-RU CHEN, SHOOU-REN HSIAU AND TING-HSIN YANG. A new two-urn model

LI-JUAN CHENG AND YONG-HUA MAO. Eigentime identity for one-dimensional diffusion processes

LI-JUAN CHENG AND YONG-HUA MAO. Eigentime identity for one-dimensional diffusion processes

MARCUS C. CHRISTIANSEN AND NICOLA LOPERFIDO. Improved approximation of the sum of random vectors by the skew-normal distribution

SAMUEL N. COHEN. Undiscounted Markov chain BSDEs to stopping times

HONGSHENG DAI. Exact simulation for diffusion bridges: an adaptive approach

PAOLO DAI PRA, PIERRE-YVES LOUIS AND IDA G. MINELLI. Synchronization via interacting reinforcement

KRZYSZTOF DEBICKI, ENKELEJD HASHORVA AND NATALIA SOJA-KUKIELA. Extremes of homogeneous Gaussian random fields

MORITZ DUEMBGEN AND L. C. G. ROGERS. Investing and stopping

PHILIP A. ERNST, DEAN P. FOSTER AND LARRY A. SHEPP. How to retire early

ALBERT FERREIRO-CASTILLA AND KEES VAN SCHAIK. Applying the Wiener–Hopf Monte Carlo simulation technique for Lévy processes to path functionals

PHILIP A. ERNST, DEAN P. FOSTER AND LARRY A. SHEPP. How to retire early

ALBERT FERREIRO-CASTILLA AND KEES VAN SCHAIK. Applying the Wiener–Hopf Monte Carlo simulation technique for Lévy processes to path functionals

RAÚL FIERRO, VÍCTOR LEIVA AND JESPER MØLLER. The Hawkes process with different exciting functions and its asymptotic behavior

RICHARD FINLAY AND EUGENE SENETA. Random fields with Pólya correlation structure

ERIC FOXALL. New results for the two-stage contact process

ERIC FOXALL. New results for the two-stage contact process

FABIAN FREUND AND ARNO SIRI-JÉGOUSSE. Minimal clade size in the Bolthausen–Sznitman coalescent

MICHAEL FUCHS, HSIEN-KUEI HWANG, YOSHIAKI ITOH AND HOSAM H. MAHMOUD. A binomial splitting process in connection with corner parking problems

PAVEL V. GAPEEV AND NEOFYTOS RODOSTHENOUS. Optimal stopping problems in diffusion-type models with running maxima and drawdowns

R. GARRA, E. ORSINGHER AND F. POLITO. State-dependent fractional point processes

RENATO JACOB GAVA AND DANILO SALOTTI. Stopping probabilities for patterns in Markov chains

R. GARRA, E. ORSINGHER AND F. POLITO. State-dependent fractional point processes

RENATO JACOB GAVA AND DANILO SALOTTI. Stopping probabilities for patterns in Markov chains

BERNHARD C. GEIGER AND CHRISTOPH TEMMEL. Lumpings of Markov chains, entropy rate preservation, and higher-order lumpability

ALESSANDRO GNOATTO AND MARTINO GRASSELLI. The explicit Laplace transform for the Wishart process

MICHAEL B. GORDY. Finite-dimensional distributions of a square-root diffusion

ADAM W. GRACE, DIRK P. KROESE AND WERNER SANDMANN. Automated state-dependent importance sampling for Markov jump processes via sampling from the zero-variance distribution

THORBJÖRN GUDMUNDSSON AND HENRIK HULT. Markov chain Monte Carlo for computing rare-event probabilities for a heavy-tailed random walk

BABAK HAJI AND SHELDON M. ROSS. A queueing loss model with heterogeneous skill based servers under idle time ordering policies

BABAK HAJI AND SHELDON M. ROSS. A queueing loss model with heterogeneous skill based servers under idle time ordering policies

ENKELEJD HASHORVA AND LANPENG JI. Approximation of passage times of gamma-reflected processes with fBm input

HUI HE AND RUGANG MA. Limit theorems for continuous time branching flows

PAWEL HITCZENKO AND GÉRARD LETAC. Dirichlet and quasi Bernoulli laws for perpetuities

DAWEI HONG, SHUSHUANG MAN, JEAN-CAMILLE BIRGET AND DESMOND S. LUN. A wavelet-based almost sure uniform approximation of fractional Brownian motion with a parallel algorithm

PHIL HOWLETT, CHARLES PEARCE AND JULIA PIANTADOSI. A new look at urban water storage in a series of connected dams

PHIL HOWLETT, CHARLES PEARCE AND JULIA PIANTADOSI. A new look at urban water storage in a series of connected dams

LEI HUA, HARRY JOE AND HAIJUN LI. Relations between hidden regular variation and tail order of copulas

MARK HUBER AND SARAH SCHOTT. Random construction of interpolating sets for high dimensional integration

MARK HUBER AND SARAH SCHOTT. Random construction of interpolating sets for high dimensional integration

JEVGENIJS IVANOVS. Potential measures of one-sided Markov additive processes with reflecting and terminating barriers

A. JANSSEN AND J. SEGERS. Markov tail chains

ZHENGJUN JIANG. Optimal dividend policy when cash reserves follow a jump-diffusion process under Markov-regime switching

A. V. KALINKIN AND A. V. MASTIKHIN. A limit theorem for Weiss epidemic process

ZHENGJUN JIANG. Optimal dividend policy when cash reserves follow a jump-diffusion process under Markov-regime switching

A. V. KALINKIN AND A. V. MASTIKHIN. A limit theorem for Weiss epidemic process

MARTIN KLIMMEK. Parameter dependent optimal thresholds, indifference levels and inverse optimal stopping problems

VASSILI N. KOLOKOLTSOV. Stochastic monotonicity and duality of

VASSILI N. KOLOKOLTSOV. Stochastic monotonicity and duality of

*k*th order with application to put-call symmetry of powered optionsARYEH KONTOROVICH AND ROI WEISS. Uniform Chernoff and Dvoretzky–Kiefer–Wolfowitz-type inequalities for Markov chains and related processes

K. M. KOSINSKI AND M. MANDJES. Logarithmic asymptotics for multidimensional extremes under non-linear scalings

HOANG-CHUONG LAM. Quenched central limit theorem for reversible random walk in random environment on

DAVID LANDRIAULT, BIN LI AND HONGZHONG ZHANG. On the frequency of drawdowns for Brownian motion processes

**Z**DAVID LANDRIAULT, BIN LI AND HONGZHONG ZHANG. On the frequency of drawdowns for Brownian motion processes

V. LE. Coalescence times for the Bienaymé-Galton-Watson process

JOSEPH LEHEC. Cover times and generic chaining

GÉRARD LETAC AND MAURO PICCIONI. Dirichlet random walks

CARL LINDBERG. Pairs trading with opportunity cost

JINGCHEN LIU AND XIANG ZHOU. Extreme analysis of a random ordinary differential equation

FABIO LOPES. Invariant bipartite random graphs on

FABIO LOPES. Invariant bipartite random graphs on

**R**^{d}OSCAR LÓPEZ AND NIKITA RATANOV. On the asymmetric telegraph processes

SHANGZHEN LUO. Stochastic Brownian game of absolute dominance

SERVET MARTÍNEZ, JAIME SAN MARTÍN AND DENIS VILLEMONAIS. Existence and uniqueness of a quasi-stationary distribution for Markov processes with fast return from infinity

TOMOMI MATSUI AND KATSUNORI ANO. A note on a lower bound for the multiplicative odds theorem of optimal stopping.

S. MCKINLAY. A characterisation of transient random walks on stochastic matrices with Dirichlet distributed limits

R. MCVINISH AND P.K. POLLETT. The limiting behaviour of Hanski's incidence function metapopulation model

PATRYK MIZIULA AND TOMASZ RYCHLIK. Extreme dispersions of semicoherent and mixed system lifetimes

PATRYK MIZIULA AND TOMASZ RYCHLIK. Extreme dispersions of semicoherent and mixed system lifetimes

BENT NATVIG. On the deterioration of nonrepairable multistate strongly coherent systems

PETER OLOFSSON AND SUZANNE S. SINDI. A Crump–Mode–Jagers branching process model of prion loss in yeast

A. PARVARDEH AND N. BALAKRISHNAN. On the conditional residual life and inactivity time of coherent systems

ORA E. PERCUS AND JEROME K. PERCUS. The maximum of a symmetric next neighbor walk on the nonnegative integers

LEANDRO P. R. PIMENTEL. On the location of the maximum of a continuous stochastic process

JEAN-FRANÇOIS RENAUD. On the time spent in the red by a refracted Lévy risk process

SHELDON M. ROSS. Optimal server selection in a queueing loss model with heterogeneous exponential servers, discriminating arrivals, and arbitrary arrival times

SHELDON M. ROSS. Simulation analysis of system life when component lives are determined by a marked point process

FRANÇOIS ROUEFF AND PHILIPPE SOULIER. Convergence to stable laws in the space

*D*ARINDAM ROYCHOUDHURY. Identifiability of a coalescent-based population tree model

MATTEO RUGGIERO. Species dynamics in the two-parameter Poisson-Dirichlet diffusion model

ERNST SCHULTE-GEERS AND WOLFGANG STADJE. Maximal percentages in Pólya's urn

ERNST SCHULTE-GEERS AND WOLFGANG STADJE. Maximal percentages in Pólya's urn

FLORIAN SIMATOS. Coupling limit order books and branching random walks

NURIA TORRADO AND SUBHASH C. KOCHAR. Stochastic order relations among parallel systems from Weibull distributions

ERIK A. VAN DOORN. Representations for the decay parameter of a birth–death process based on the Courant–Fischer theorem

NURIA TORRADO AND SUBHASH C. KOCHAR. Stochastic order relations among parallel systems from Weibull distributions

ERIK A. VAN DOORN. Representations for the decay parameter of a birth–death process based on the Courant–Fischer theorem

R. VASUDEVA, J. VASANTHA KUMARI AND S. RAVI. On the asymptotic behaviour of extremes and near maxima of random observations from the general error distributions

RAHUL VAZE AND SRIKANTH IYER. Percolation on the information-theoretically secure signal to interference ratio graph

HANCHAO WANG. Euler scheme for stochastic differential equation driven by pure jump semimartingales

HANCHAO WANG. Euler scheme for stochastic differential equation driven by pure jump semimartingales

RUODU WANG. Asymptotic bounds for the distribution of the sum of dependent random variables

YANG YANG, KAIYONG WANG AND DIMITRIOS G. KONSTANTINIDES. Uniform asymptotics for discounted aggregate claims in dependent

YI ZHANG. Average optimality for continuous-time Markov decision processes under weak continuity conditions

MING ZHOU AND JUN CAI. Optimal dynamic risk control for insurers with state dependent income

YOUZHOU ZHOU. Ergodic inequality of two-parameter infinitely-many-alleles diffusion model

YOUZHOU ZHOU. Ergodic inequality of two-parameter infinitely-many-alleles diffusion model

LINGJIONG ZHU. Limit theorems for a Cox–Ingersoll–Ross process with Hawkes jumps

**Short Communications**MARTIN EGOZCUE AND LUIS FUENTES GARCÍA. An optimal threshold strategy in the two-envelope problem with partial information

KRZYSZTOF LATUSZYNSKI AND JEFFREY S. ROSENTHAL. The containment condition and AdapFail algorithms

HOSAM M. MAHMOUD AND MARK DANIEL WARD. Asymptotic properties of protected nodes in random recursive trees

C. Y. ROBERT. On the De Vylder and Goovaerts conjecture about ruin for equalized claims

VICENTE VERGARA. Asymptotic behaviour of the time-fractional telegraph equation

KRZYSZTOF LATUSZYNSKI AND JEFFREY S. ROSENTHAL. The containment condition and AdapFail algorithms

HOSAM M. MAHMOUD AND MARK DANIEL WARD. Asymptotic properties of protected nodes in random recursive trees

C. Y. ROBERT. On the De Vylder and Goovaerts conjecture about ruin for equalized claims

VICENTE VERGARA. Asymptotic behaviour of the time-fractional telegraph equation

### Advances in Applied Probability

**Stochastic Geometry and Statistical Applications**B. BLASZCZYSZYN AND D. YOGESHWARAN. On comparison of clustering properties of point processes

GE CHEN, CHANGLONG YAO AND TIANDE GUO. The asymptotic size of the largest component in random geometric graphs with some applications

D. COUPIER AND YU. DAVYDOV. Random symmetrizations of convex bodies

L. DECREUSEFOND, E. FERRAZ, H. RANDRIAMBOLOLONA AND A. VERGNE. Simplicial homology of random configurations

F. FODOR, P. KEVEI AND V. VÍGH. On random disc-polygons in smooth convex discs

JULIA HÖRRMANN AND DANIEL HUG. On the volume of the zero cell of a class of isotropic Poisson hyperplane tessellations

DANIEL HUG AND ROLF SCHNEIDER. Approximation properties of random polytopes associated with Poisson hyperplane processes

GÜNTER LAST, MATHEW D. PENROSE, MATTHIAS SCHULTE AND CHRISTOPH THÄLE. Moments and central limit theorems for some multivariate Poisson functionals

SERVET MARTINEZ AND WERNER NAGEL. STIT Tessellations have trivial tail ¾-algebra

KASPAR STUCKI AND DOMINIC SCHUHMACHER. Bounds for the probability generating functional of a Gibbs point process

ANNE MARIE SVANE. Local digital estimators of intrinsic volumes for Boolean models and in the design based setting

**General Applied Probability**LOUIGI ADDARIO-BERRY AND TAO LEI. The mixing time of the Newman–Watts small world

DANIEL AHLBERG. Asymptotics of first-passage percolation on one-dimensional graphs

ALESSANDRO ARLOTTO AND J. MICHAEL STEELE. Optimal online selection of an alternating subsequence: a central limit theorem

RICHARD ARRATIA AND STEPHEN DESALVO. On the random sampling of pairs, with pedestrian examples

DANIEL AHLBERG. Asymptotics of first-passage percolation on one-dimensional graphs

ALESSANDRO ARLOTTO AND J. MICHAEL STEELE. Optimal online selection of an alternating subsequence: a central limit theorem

RICHARD ARRATIA AND STEPHEN DESALVO. On the random sampling of pairs, with pedestrian examples

E. S. BADILA, O. J. BOXMA, J. A. C. RESING AND E. M. M. WINANDS. Queues and risk models with simultaneous arrivals

MÁTYÁS BARCZY, LEIF DÖRING, ZENGHU LI AND GYULA PAP. Stationarity and ergodicity for an affine two factor model

OLE E. BARNDORFF-NIELSEN, FRED ESPEN BENTH AND ALMUT E. D. VERAART. Modelling electricity futures by ambit fields

ELISABETH BAUERNSCHUBERT. Recurrence and transience of critical branching processes in random environment with immigration and an application to excited random walks

DANIELA BERTACCHI AND FABIO ZUCCA Strong local survival of branching random walks is not monotone

DANIELA BERTACCHI, FABIO PRATES MACHADO AND FABIO ZUCCA. Local and global survival for nonhomogeneous random walk systems on

*Z*ALEXANDROS BESKOS, DAN O. CRISAN, AJAY JASRA AND NICK WHITELEY. Error bounds and normalizing constants for sequential Monte Carlo samplers in high dimensions

NING CAI, S. G. KOU AND ZONGJIAN LIU. A two-sided Laplace inversion algorithm with computable error bounds and its applications in financial engineering

JI HWAN CHA. Characterization of the generalized Polya process and its applications

JI HWAN CHA AND GIANPAOLO PULCINI. Burn-in procedure based on dependent covariate process

JI HWAN CHA AND GIANPAOLO PULCINI. Burn-in procedure based on dependent covariate process

RUI CHEN AND OLLIVIER HYRIEN. On classes of equivalence and identifiability of age-dependent branching processes

ZHIYI CHI. Non-normal small jump approximation of infinitely divisible distributions

ALBERTO CHIARINI AND MARKUS FISCHER. On large deviations for small noise Itô processes

CAMILLE CORON. Stochastic modeling of density-dependent diploid populations and extinction vortex

EMILIE COUPECHOUX AND MARC LELARGE. How clustering affects epidemics in random networks

DARYL J. DALEY, JOHAN S.H. VAN LEEUWAARDEN AND YONI NAZARATHY. BRAVO for many-server QED systems with finite buffers

FRANÇOIS DUFOUR AND A. B. PIUNOVSKIY. Impulsive control for continuous-time Markov decision processes

DARYL J. DALEY, JOHAN S.H. VAN LEEUWAARDEN AND YONI NAZARATHY. BRAVO for many-server QED systems with finite buffers

FRANÇOIS DUFOUR AND A. B. PIUNOVSKIY. Impulsive control for continuous-time Markov decision processes

DOMINIC EDELMANN AND CORNELIA WICHELHAUS. Nonparametric inference for queueing networks of

*GEOM*^{X}/*G*/1-queues in discrete timeMASAHIKO EGAMI AND KAZUTOSHI YAMAZAKI. On the continuous and smooth fit principle for optimal stopping problems in spectrally negative Lévy models

ERIK EKSTRÖM AND BING LU. The optimal dividend problem in the dual model

SEBASTIAN ENGELKE, ALEXANDER MALINOWSKI, MARCO OESTING AND MARTIN SCHLATHER. Statistical inference for max-stable processes by conditioning on extreme events

VICKY FASEN. Limit theory for high frequency sampled MCARMA models

MATHIEU FEUILLET AND PHILIPPE ROBERT A scaling analysis of a transient stochastic network

ERIC FOXALL Convergence and monotonicity for a model of spontaneous infection and transmission

KAMILLE SOFIE TÅGHOLT GAD AND JESPER LUND PEDERSEN. Variance optimal stopping for geometric Lévy processes

KAMILLE SOFIE TÅGHOLT GAD AND JESPER LUND PEDERSEN. Variance optimal stopping for geometric Lévy processes

GHURUMURUHAN GANESAN. Infection spread in random geometric graphs

OLIVIER GARET AND RÉGINE MARCHAND. Growth of a population of bacteria in a dynamical hostile environment

ALEXANDER GNEDIN, ALEXANDER IKSANOV, ALEXANDER MARYNYCH AND MARTIN MÖHLE. On asymptotics of the beta-coalescents

ROBERT C. GRIFFITHS. The Lambda–Fleming–Viot process and a connection with Wright–Fisher diffusion

MICHAEL GRINFELD, STANISLAV VOLKOV AND ANDREW R. WADE. Convergence in a multidimensional randomized Keynesian beauty contest

MICHAEL GRINFELD, STANISLAV VOLKOV AND ANDREW R. WADE. Convergence in a multidimensional randomized Keynesian beauty contest

IEVA GRUBLYTE AND DONATAS SURGAILIS. Projective stochastic equations and nonlinear long memory

LOÏC HERVÉ AND JAMES LEDOUX. Spectral analysis of Markov kernels and application to the convergence rate of discrete random walks

MATTHIEU JONCKHEERE AND SEVA SHNEER. Stability of multi-dimensional birth-and-death processes with state-dependent

*0*-homogeneous jumpsGALIN L. JONES, GARETH O. ROBERTS AND JEFFREY S. ROSENTHAL. Convergence of conditional Metropolis-Hastings samplers

RAVI KALPATHY AND HOSAM MAHMOUD. Perpetuities in fair leader election algorithms

MASAHIRO KOBAYASHI AND MASAKIYO MIYAZAWA. Tail asymptotics of the stationary distribution of a two-dimensional reflecting random walk with unbounded upward jumps

ALEXANDER D. KOLESNIK. Probability distribution function for the Euclidean distance between two telegraph processes

MALGORZATA KUCHTA AND MICHAL MORAYNE. Monotone case for an extended process

JUKKA LEMPA Bounded variation control of Itô diffusions with exogenously restricted intervention times

XIAOHU LI AND YINPING YOU. Permutation monotone functions of random vectors with applications in financial and actuarial risk management

HIROYUKI MASUYAMA. Error bounds for augmented truncations of discrete-time block-monotone Markov chains under geometric drift conditions

XIAOHU LI AND YINPING YOU. Permutation monotone functions of random vectors with applications in financial and actuarial risk management

HIROYUKI MASUYAMA. Error bounds for augmented truncations of discrete-time block-monotone Markov chains under geometric drift conditions

NAOTO MIYOSHI AND TOMOYUKI SHIRAI. A cellular network model with Ginibre configurated base stations

TOSHIO NAKATA. The number of collisions for the occupancy problem with unequal probabilities

PETER NEAL. Endemic behaviour of SIS epidemics with general infectious period distributions

MARIA REMEROVA, SERGEY FOSS AND BERT ZWART. Random fluid limit of an overloaded polling model

YAN-XIA REN AND TING YANG. Multitype branching Brownian motion and traveling waves

ULRICH RIEDER AND MARC WITTLINGER On optimal terminal wealth problems with random trading times and drawdown constraints

LAURA SACERDOTE, OTTAVIA TELVE AND CRISTINA ZUCCA. Joint densities of first hitting times of a diffusion process through two time dependent boundaries

HIRONOBU SAKAGAWA. Persistence probability for a class of Gaussian processes related to random interface models

QIFAN SONG, MINGQI WU AND FAMING LIANG. Weak convergence rates of population versus single-chain stochastic approximation MCMC algorithms

A. L. STOLYAR. Diffusion scale tightness of invariant distributions of a large-scale flexible service system

A. L. STOLYAR. Diffusion scale tightness of invariant distributions of a large-scale flexible service system

HONGZHONG ZHANG. Occupation times, drawdowns, and drawups for one-dimensional regular diffusions

LI-XIN ZHANG, FEIFANG HU, SIU HUNG CHEUNG AND WAI SUM CHAN. Asymptotic properties of multicolor randomly reinforced Pólya urns