Statements (16)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:organization
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            
                                            Brownian motion
                                        
                                        
                                         | 
                            
| gptkbp:category | 
                                    
                                        
                                            gptkb:organization
                                        
                                         gptkb:mathematical_law  | 
                            
| gptkbp:describes | 
                                    
                                        
                                            
                                            distribution of time a Brownian particle spends positive
                                        
                                        
                                         | 
                            
| gptkbp:distributedBy | 
                                    
                                        
                                            gptkb:arcsine_distribution
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:probability_theory
                                        
                                         | 
                            
| gptkbp:firstPublished | 
                                    
                                        
                                            
                                            1939
                                        
                                        
                                         | 
                            
| gptkbp:form | 
                                    
                                        
                                            
                                            P(T < t) = (2/π) arcsin(√t) for t in [0,1]
                                        
                                        
                                         | 
                            
| gptkbp:namedAfter | 
                                    
                                        
                                            gptkb:Paul_Lévy
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:stochastic_process
                                        
                                         gptkb:random_walk gptkb:arcsine_distribution  | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Paul_M._G._Lévy
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            6
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Lévy arcsine law
                                        
                                        
                                         |