King's Son and Minister's Son

avi video‘The King’s Son and Minister’s Son’ was told by Rgyal mtshan in A mdo Tibetan. Rta rgyugs, a subdivision of Rka phug Administrative Village, is a farming village located in Khams ra Town, Gcan tsa County Town, Rma lho Tibetan Autonomous Prefecture, Qinghai Province, PR China. In 2010, there were 15 Han Chinese households and 18 Tibetan households in Rta rgyugs Village. The total population was 175 residents (33 households). Most Han Chinese residents were fluent in Tibetan and communicated in Tibetan with local Tibetan villagers. རྐ་ཕུག་སྡེ་བའི་ཁོངས་སུ་གཏོགས་པའི་རྟ་རྒྱུགས་སྡེ་བ་ནི་ཞིང་ལས་གཙོ་བོར་གཉེར་བའི་བོད་སྡེ་ཞིག་ཡིན་ལ། དེ་ནི་ཁམས་ར་གྲོང་བརྡལ་དུ་ཆགས་ཤིང་གཅན་ཚ་རྫོང་མཁར་དང་བར་ཐག་སྤྱི་ལེ་༣༥ ལྷག་ཡོད། གཅན་ཚ་རྫོང་ནི་ཀྲུང་གོའི་མཚོ་སྔོན་ཞིང་ཆེན་རྨ་ལྷོ་བོད་རིགས་རང་སྐྱོང་ཁུལ་གྱི་རྫོང་བཞིའི་ཡ་གྱལ་ཞིག་ཡིན་ཏེ། ༢༠༡༠ལོར་རྟ་རྒྱུགས་སྡེ་བར་བསྡོམས་པས་ཁྱིམ་ཚང་སུམ་ཅུ་སོ་གསུམ་ཡོད་ལ། དེའི་གྲས་སུ་ཁྱིམ་ཚང་བཅོ་ལྔ་ནི་རྒྱ་རིགས་ཡིན་པ་དང་། ཁྱིམ་ཚང་བཅོ་བརྒྱད་བོད་རིགས་ཡིན། རྒྱའི་མི་ཁྱིམ་ཕལ་ཆེ་བས་བོད་སྐད་བཤད་ཤེས་པ་དང་དུས་རྒྱུན་དུ་བོད་སྐད་བཀོད་སྤྱོད་བྱས་ནས་སྡེ་བའི་ནང་གི་བོད་མི་ཚོར་འབྲེལ་འདྲིས་བྱེད། ད་ལྟ་རྟ་རྒྱུགས་སྡེ་བར་འདུས་སྡོད་བྱེད་པའི་མི་གྲངས་ ༡༧༥ཡིན། Rka phug sde ba'i khongs su gtogs pa'i rta rgyugs sde ba ni zhing las gtso bor gnyer ba'i bod sde zhig yin la/ de ni khams ra grong brdal du chags shing gcan tsha rdzong mkhar dang bar thag spyi le 35 lhag yod/ gcan tsha rdzong ni krung go'i mtsho sngon zhing chen rma lho bod rigs rang skyong khul gyi rdzong bzhi'i ya gyal zhig yin te/ 2010 lor rta rgyugs sde bar bsdoms pas khyim tshang sum cu so gsum yod la/ de'i gras su khyim tshang bco lnga ni rgya rigs yin pa dang/ khyim tshang bco brgyad bod rigs yin/ rgya'i mi khyim phal che bas bod skad bshad shes pa dang dus rgyun du bod skad bkod spyod byas nas sde ba'i nang gi bod mi tshor 'brel 'dris byed/ da lta rta rgyugs sde bar 'dus sdod byed pa'i mi grangs 175yin

Entropy Maximization and Instability of Uniformly Magnetized Plasma

A regime where a uniformly magnetized plasma could be unstable to a spatial perturbation in the magnetic field is explored. In this regime, a uniformly magnetized state does not maximize the entropy. The physical implication is discussed in the context of the current generation, the magnetic reconnection, and the dynamo effect

Testable non-linearity through entanglement measurement

A model of correlated particles described by a generalized probability theory is suggested whose dynamics is subject to a non-linear version of Schr\"odinger equation. Such equations arise in many different contexts, most notably in the proposals for the gravitationally induced collapse of wave function. Here, it is shown that the consequence of the connection demonstrates a possible deviation of the theory from the standard formulation of quantum mechanics in the probability prediction of experiments. The links are identified from the fact that the analytic solution of the equation is given by Dirichlet eigenvalues which can be expressed by generalized trigonometric function. Consequently, modified formulation of Born's rule is obtained by relating the event probability of the measuement to an arbitrary exponent of the modulus of the eigenvalue solution. Such system, which is subject to the non-linear dynamic equation, illustrates the violation of the Clauser-Hore-Shimony-Holt inequality proportional to the degree of the non-linearity as it can be tested by a real experiment. Depending upon the degree, it is found that the violation can go beyond Tsirelson bound $2\sqrt{2}$ and reaches to the value of nonlocal box.Comment: 3 figure

Substitutions, tiling dynamical systems and minimal self-joinings

We investigate substitution subshifts and tiling dynamical systems arising from the substitutions (1) \theta : 0 \rightarrow 001,1 \rightarrow 11001 and (2) \eta : 0 \rightarrow 001,1 \rightarrow 11100. We show that the substitution subshifts arising from \theta and \eta have minimal self-joinings and are mildly mixing. We also give a criterion for 1-dimensional tiling systems arising from \theta or \eta to have minimal self-joinings. We apply this to obtain examples of mildly mixing 1-dimensional tiling systems