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These proceedings represent the current state of research on the topics 'boundary theory' and 'spectral and probability theory' of random walks on infinite graphs. They are the result of the two workshops held in Styria (Graz and St. Kathrein am Offenegg, Austria) between June 29th and July 5th, 2009. Many of the participants joined both meetings. Even though the perspectives range from very different fields of mathematics, they all contribute with important results to the same wonderful topic from structure theory, which, by extending a quotation of Laurent Saloff-Coste, could be described by 'exploration of groups by random processes'. Contributors: M. Arnaudon A. Bendikov M. Björklund B. Bobikau D. D’Angeli A. Donno M.J. Dunwoody A. Erschler R. Froese A. Gnedin Y. Guivarc’h S. Haeseler D. Hasler P.E.T. Jorgensen M. Keller I. Krasovsky P. Müller T. Nagnibeda J. Parkinson E.P.J. Pearse C. Pittet C.R.E. Raja B. Schapira W. Spitzer P. Stollmann A. Thalmaier T.S. Turova R.K. Wojciechowski.

Boundary value problems -- Congresses. --- Combinatorial probabilities. --- Mathematics. --- Random walks (Mathematics) -- Congresses. --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- Random walks (Mathematics) --- Spectral theory (Mathematics) --- Boundary value problems. --- Additive process (Probability theory) --- Random walk process (Mathematics) --- Walks, Random (Mathematics) --- Boundary conditions (Differential equations) --- Probabilities. --- Probability Theory and Stochastic Processes. --- Differential equations --- Functions of complex variables --- Mathematical physics --- Initial value problems --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Stochastic processes --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk

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These proceedings represent the current state of research on the topics 'boundary theory' and 'spectral and probability theory' of random walks on infinite graphs. They are the result of the two workshops held in Styria (Graz and St. Kathrein am Offenegg, Austria) between June 29th and July 5th, 2009. Many of the participants joined both meetings. Even though the perspectives range from very different fields of mathematics, they all contribute with important results to the same wonderful topic from structure theory, which, by extending a quotation of Laurent Saloff-Coste, could be described by 'exploration of groups by random processes'. Contributors: M. Arnaudon A. Bendikov M. Björklund B. Bobikau D. D'Angeli A. Donno M.J. Dunwoody A. Erschler R. Froese A. Gnedin Y. Guivarc'h S. Haeseler D. Hasler P.E.T. Jorgensen M. Keller I. Krasovsky P. Müller T. Nagnibeda J. Parkinson E.P.J. Pearse C. Pittet C.R.E. Raja B. Schapira W. Spitzer P. Stollmann A. Thalmaier T.S. Turova R.K. Wojciechowski

Operational research. Game theory --- stochastische analyse --- kansrekening

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This volume constitutes the refereed proceedings of the workshops held at the 33rd International Conference on Database and Expert Systems Applications, DEXA 2022, held in Vienna, Austria, in August 2022: The 6th International Workshop on Cyber-Security and Functional Safety in Cyber-Physical Systems (IWCFS 2022); 4th International Workshop on Machine Learning and Knowledge Graphs (MLKgraphs 2022); 2nd International Workshop on Time Ordered Data (ProTime2022); 2nd International Workshop on AI System Engineering: Math, Modelling and Software (AISys2022); 1st International Workshop on Distributed Ledgers and Related Technologies (DLRT2022); 1st International Workshop on Applied Research, Technology Transfer and Knowledge Exchange in Software and Data Science (ARTE2022). The 40 papers were thoroughly reviewed and selected from 62 submissions, and discuss a range of topics including: knowledge discovery, biological data, cyber security, cyber-physical system, machine learning, knowledge graphs, information retriever, data base, and artificial intelligence.

Mathematical control systems --- Information systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- datamining --- informatica --- database management --- informatietechnologie --- software engineering --- KI (kunstmatige intelligentie) --- data acquisition --- informatietheorie --- AI (artificiële intelligentie)