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Chip-firing and algebraic combinatorics
Published on Jul 19, 2019262 Views
Chip-firing processes are discrete dynamical systems. A commodity (chips, sand, dollars) is exchanged between sites of a network according to simple local rules. Although governed by local rules, the
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Chapter list
Chip - Firing and Algebraic Combinatorics00:00
Chip - Firing - Basic Dynamics - 101:56
Chip - Firing - Basic Dynamics - 203:54
Chip - Firing - Basic Dynamics - 304:39
Chip - Firing - Basic Dynamics - 406:47
Chip - Firing - Basic Dynamics - 508:45
Let's look at some larger examples10:01
Pattern Formation - 111:07
Pattern Formation - 211:47
Pattern Formation - 312:11
Pattern Formation - 412:32
Pattern Formation - 512:40
Pattern Formation - 612:48
Pattern Formation - 713:03
Pattern Formation - 813:14
Pattern Formation - 916:19
Pattern Formation - 1017:25
Pattern Formation - 1118:31
The pulse in three dimensions21:01
Finite Graphs with a Sink - 121:03
Finite Graphs with a Sink - 222:17
Finite Graphs with a Sink - 322:29
Finite Graphs with a Sink - 423:32
Criticals and Superstables - 124:37
Criticals and Superstables - 227:28
Sandpile Group - 129:27
Sandpile Group - 230:49
Sandpile Group Identity - 132:34
Sandpile Group Identity - 233:41
Sandpile Group Identity - 333:51
Sandpile Group and Divisors on Curves34:37
Riemann - Roch Theorem35:45
Divisors on Curves36:57
Chip - Firing in Higher Dimensions - 138:51
Chip - Firing in Higher Dimensions - 241:10
Chip - Firing in Higher Dimensions - 343:28
Chip - Firing in Higher Dimensions - 444:35
Chip - Firing in Higher Dimensions - 545:35
Chip - Firing in Higher Dimensions - 645:40
Chip - Firing in Higher Dimensions - 747:42