From what I have read recently, central London is much less safe than the 20 arrondissements of central Paris. Â Property crimes are through the roof, and violent crimes (short of the most serious) are also much higher. Â Of course, this does not count the ring of housing projects around Paris ("the Zone") which has a far higher crime rate than the city itself. Â But then not many Olympic events would be held out there. London appears to be going through a fatalistic "There's nothing we can do" phase, much like New York in the 70s and 80s. Â Let's hope they snap out of it.
I assume you mean places like Soho, Fitzrovia, Seven Dials, Covent Garden, Hampstead, Camden, Brixton, Southwark, and the Eastend. There is no way you can say crime ridden, if you consider the majority of 'central' London, vis Mayfair, Holland Park, Notting Hill, Primrose Hill, Belgravia, Kensington, Chelsea, St. James's, Brompton, and Marylebone (far larger then Paris's 20 arrondissements).
London appears to be going through a fatalistic "There's nothing we can do" phase, much like New York in the 70s and 80s. Let's hope they snap out of it.
Is possibly an international viewpoint, because that is not the way it is considered in the UK.