- Two good counting Counting problems that can be solved exactly in polynomial time are few
- MTH6130 Probability III, Spring 2011 Solutions to Exercise Sheet 4
- #P-completeness Classical complexity theory is mainly concerned with complexity of decision
- MTH6130 Probability III, Spring 2011 Solutions to Exercise Sheet 3
- B.Sc. EXAMINATION BY COURSE UNITS MTH6126 Metric Spaces
- School of Mathematical Sciences, Probability III 21.03.2011 EvaSys evaluation Page 1
- Canonical paths and Coupling, at least Markovian coupling, is not a universally applicable method
- MTH6130 Probability III, Spring 2011, Exercise Sheet 1 Please drop your answer to Question 1 only in the red box on the second floor
- MTH6130 Probability III, Spring 2011, Exercise Sheet 3 Please drop your answer to Question 3 only in the red box on the second floor
- Inapproximability Not all counting problems are eciently approximable. We open with a
- MTH6126 Metric Spaces, Autumn 2010: Sheet 5 Please send comments and corrections to m.jerrum@qmul.ac.uk.
- MTH6130 Probability III, Spring 2011 Solutions to Exercise Sheet 9 MRJ & JRJ
- MTH6130 Probability III, Spring 2011, Exercise Sheet 9 Please drop your answer to Question 3 in the red box on the second floor of the
- Sampling and counting Accumulated evidence of the kind described in the previous chapter suggests
- MTH6130 Probability III, Spring 2011 Solutions to Exercise Sheet 2
- Lecturer: Prof. M Jerrum Number of responses: 28
- MTH6126 Metric Spaces, Autumn 2010: Sheet 1 Please send comments and corrections to m.jerrum@qmul.ac.uk.
- MTH6126 Metric Spaces, Autumn 2010: Sheet 3 Please send comments and corrections to m.jerrum@qmul.ac.uk.
- MTH6126 Metric Spaces, Autumn 2010: Sheet 6 Please send comments and corrections to m.jerrum@qmul.ac.uk.
- 2 Metrics and norms Definition 2.1. Let X be a non-empty set. A function : X X R is
- 4 Open sets and closed sets Throughout this section, (X, ) is a metric space.
- 5 Continuity Definition 5.1. Let (X, ) and (Y, ) be metric spaces. A map f : X Y
- 6 Completeness 6.1 Cauchy sequences
- 7 Compactness Intervals which are bounded and closed figure prominently in analysis on
- B.Sc. EXAMINATION BY COURSE UNITS MTH6126 Metric Spaces
- B.Sc. EXAMINATION BY COURSE UNITS MTH6126 Metric Spaces
- B. Sc. Examination by course unit 2010 MTH6126 Metric Spaces
- B. Sc. Examination by course unit 2011 MTH6130 Probability III
- MTH6130 Probability III, Spring 2011, Exercise Sheet 2 Please drop your answer to Question 4 only in the red box on the second floor
- MTH6130 Probability III, Spring 2011 Solutions to Exercise Sheet 5 MRJ & JRJ
- MTH6130 Probability III, Spring 2011, Exercise Sheet 6 Please drop your answer to Question 4 in the red box on the second floor of the
- MTH6130 Probability III, Spring 2011 Solutions to Exercise Sheet 6 MRJ & JRJ
- MTH6130 Probability III, Spring 2011 Solutions to Exercise Sheet 8 MRJ & JRJ
- BRIEF NOTES FOR MTH6130 PROBABILITY III 11 2. Continuous-time stochastic processes
- MTH6130 Probability III, Spring 2011 Solutions to Exercise Sheet 1
- MTH6126 Metric Spaces, Autumn 2010: Sheet 2 Please send comments and corrections to m.jerrum@qmul.ac.uk.
- MTH6126: Metric Spaces Mark Jerrum
- Coupling and colourings The outline of our programme is now clear: in order to count (approxi-
- Logarithmic Sobolev inequalities
- MTH6130 Probability III, Spring 2011 Solutions to Exercise Sheet 7 MRJ & JRJ
- Volume of a convex body We arrive at one of the most important applications of the Markov chain
- B.Sc. EXAMINATION BY COURSE UNITS MTH6126 Metric Spaces
- BRIEF NOTES FOR MTH6130 PROBABILITY III MARK JERRUM
- MTH6126 MAY 2010 EXAMINATION: SPECIMEN SOLUTIONS MARK JERRUM
- MTH6130 Probability III, Spring 2011, Exercise Sheet 8 Please drop your answer to Question 1 in the red box on the second floor of the
- B. Sc. Examination by course unit 2010 MTH6126 Metric Spaces
- 3 Convergence Definition 3.1. A sequence (xn) of elements of a metric space (X, ) is said
- MTH6126 Metric Spaces, Autumn 2010: Sheet 4 Please send comments and corrections to m.jerrum@qmul.ac.uk.
- Bibliography [1] David Aldous. Random walks on nite groups and rapidly mixing
- MTH6126 Metric Spaces, Autumn 2010: Sheet 9 Please send comments and corrections to m.jerrum@qmul.ac.uk.
- MTH6126 Metric Spaces, Autumn 2010: Sheet 8 Please send comments and corrections to m.jerrum@qmul.ac.uk.
- MTH6130 Probability III, Spring 2011, Exercise Sheet 4 Please drop your answer to Question 3 only in the red box on the second floor
- Inductive bounds, cubes, trees and matroids
- MTH6130 Probability III, Spring 2011, Exercise Sheet 5 Please drop your answers to Questions 1 and 2 in the red box on the second
- MTH6126 Metric Spaces, Autumn 2010: Sheet 7 Please send comments and corrections to m.jerrum@qmul.ac.uk.
- MTH6130 Probability III, Spring 2011, Exercise Sheet 7 Please drop your answer to Questions 2 and 4 in the red box on the second floor