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![]() ![]() Topological pressure and equilibrium states are discussed, and a proof is given of the variational principle that relates pressure to measure-theoretic entropies. Topological entropy is introduced and related to measure-theoretic entropy. The family of invariant probability measures for such a transformation is studied and related to properties of the transformation such as topological traitivity, minimality, the size of the non-wandering set, and existence of periodic points. The second part of the text focuses on the ergodic theory of continuous transformations of compact metrizable spaces. Some examples are described and are studied in detail when new properties are presented. The first part of the text is concerned with measure-preserving transformations of probability spaces recurrence properties, mixing properties, the Birkhoff ergodic theorem, isomorphism and spectral isomorphism, and entropy theory are discussed. It is hoped the reader will be ready to tackle research papers after reading the book. The mathematical prerequisites are summarized in Chapter 0. ![]() Abstract: This text provides an introduction to ergodic theory suitable for readers knowing basic measure theory.
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Commander winslow6/1/2023 Content creator Uhmaayyze shared an older image of Reddick holding a Destiny gun, beaming. Artwork of Zavala has already been drawn up and sent out. RIP /qdvd3d7gBa- Stephen Totilo March 17, 2023įolks are heartbroken over this loss, including many Bungie employees, who shared their immediate reactions to the shocking news on Twitter. Just went into Destiny 2, and, yeah, players are gathered around Commander Zavala, paying tribute to his actor, the late Lance Reddick Lance was a beautiful human being and so is his partner and puppies.- pete parsons March 17, 2023 ![]() ![]() So many guardians saluting our commander#PS5Share, #Destiny2 /xNkivzmoGf- Sarathûn March 17, 2023 Infamous lines memed into oblivion like, “We’ve stepped into a war with the Cabal on Mars,” also gave way to intimate personal tales of grief and struggle. Subsequent seasons revealed a familiar tragedy from his past that still haunted him. In last year’s Witch Queen expansion, he grappled with his faith as cosmic forces challenged it, which gave Reddick even more room to flex into Zavala’s character and personality. However, he’s been given a lot of emotional backstory in the years since, with the character evolving in significant ways - he’s more talkative when you see him in the Tower now, standing alone and looking out at the Traveller, pontificating on the state of the world and his role in it in Reddick’s dulcet tones. A kind of stoic blank slate in the beginning, he would primarily sling a variety of Titan armour in silence. One of the first characters you meet after waking up in the original game and blasting your way through an alien-infested planet, Zavala could be found in the Tower’s war room alongside Cayde-6 and Ikora Rey. Zavala is a mainstay in the Destiny universe. Read More: Destiny, Horizon Actor Lance Reddick Dies At 60 Now, folks who’ve heard the news of Reddick’s death are flocking to his in-game character to honour him as their forever commander in a wholesome display of gamer solidarity. While he’s been in films and TV shows such as John Wick and The Wire, Destiny players know him best as the commander of The Last City, the Awoken Guardian Zavala. Yet while Stranger Things' usage of Bush's music was spectacular, The Handmaid's Tale did it first - and better.Lance Reddick, the actor who’s been lending his voice to games ranging from the Horizon series to Quantum Break, passed away Friday. 1 on iTunes over 35 years after its initial release. As a result of Stranger Things, NBC News reported that "Running Up That Hill" reached No. The song originally was an allegory for wanting to swap places in a relationship and was seemingly used in the Netflix series to represent Max wanting to swap places with her brother Billy. Stranger Things cleverly used this '80s song - most notably in Season 4, Episode 4 "Dear Billy" and the season finale - as the anthem of Max Mayfield. ![]() "Running Up That Hill" was the breakout song of the summer no one saw coming - mostly because the song is several decades old. The Handmaid's Tale used two other Kate Bush songs long before Stranger Things to underscore some of the Hulu show's best moments. However, Stranger Things isn't the only hit show to have incorporated songs by the Irish artist. When Stranger Things Season 4 used the Kate Bush song "Running Up That Hill," it introduced millions of fans to the Grammy Award nominee's music.
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Mullvad reviews6/1/2023 Meanwhile, connecting to a UK server resulted in good download speeds given the distance, okay upload speeds and acceptable latency. Manually switching servers (all in Los Angeles for the closest servers) did improve download speeds but at the cost of upload speed. The US speeds are okay, with a mix of great latency alongside acceptable changes to download and upload. It helps that Mullvad VPN didn’t interrupt any of my usual services: gaming digital platforms, Slack, Discord and Skype.ĭuring all of my Mullvad tests, I only had dropout during my early tests, otherwise Mullvad was always connected, regardless of the server locations I was testing. This means you shouldn’t notice any massive difference in your usual internet goings-on in Australia while connected to any of the available Australian servers, and that 5ms latency makes gaming incredibly viable. Only Hotspot Shield has faster download speeds (0.5% vs 3%), but Mullvad beats Hotspot on upload speeds (3% vs 6%) and latency (1ms change vs 21ms) for Australian server tests. Mullvad VPN’s minimal changes when connected to Australian servers (Sydney for my tests) are incredibly impressive. For context, while TunnelBear doesn’t say how many servers it has, the next lowest server count of the VPNs we’ve reviewed is the 1,600+ from IPVanish. At the time of writing this review, Greece’s only server was offline, which isn’t great considering Mullvad only has 37 country options, which makes it the second-lowest count behind Norton Secure VPN (31) for our VPN reviews, and there were only 766 servers. There isn’t any information beyond the server name and the at-a-glance logic that green means a server is good to use and red means it’s offline. Back on the location page, click or tap on the down arrow next to a country to select locations, and then use the down arrow next to the location to find specific servers. About eight seconds later you should be online, and disconnecting only takes a few seconds with only minor interruptions to real-time internet services (like music streaming) in my tests. Simply click on the country name, switch to one you like, then head back to the main screen and tap on ‘Secure my connection’. Mullvad starts by recommending Sweden (Mullvad’s home base) as the default connection option, but it’ll remember where you last connected to afterwards. While neither the Windows software nor Android app that I tested for this review are much to write home about in terms of their design, they get the job done in a straightforward way. ![]() The simplification returns when it comes to actually using Mullvad VPN. ![]() Couple this with Mullvad’s zero-logging policy, and this is a VPN service that takes user privacy very seriously. While it is trickier to recall than a username and password, and it doesn’t play as nice with password managers that seek out a username/password combo, it does mean that your VPN connection is protected at an account level because there’s no need to supply personal information, not even an email address. This is a bit pesky and requires you to jot it down somewhere (ideally, somewhere secure) in order to use Mullvad across devices. Instead of creating a password associated with your email address username, Mullvad assigns you a unique account number. While payment is straightforward, the first quirk of Mullvad VPN comes when after you sign up. |